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Öğe ALMOST HERMITIAN SUBMERSIONS WHOSE TOTAL MANIFOLDS ADMIT A RICCI SOLITON(Honam Mathematical Soc, 2020) Gunduzalp, YilmazThe object of the present paper is to study the almost Hermitian submersion from an almost Hermitian manifold admits a Ricci soliton. Where, we investigate any fibre of such a submersion is a Ricci soliton or Einstein. We also get necessary conditions for which the base manifold of an almost Hermitian submersion is a Ricci soliton or Einstein. Moreover, we obtain the harmonicity of an almost Hermitian submersion from a Ricci soliton to an almost Hermitian manifold.Öğe ALMOST PARA-HERMITIAN SUBMERSIONS(Math Soc Serbia-Drustvo Matematicara Srbije, 2016) Gunduzalp, YilmazIn this paper, we introduce the concept of almost para-Hermitian submersions between almost para-Hermitian manifolds. We investigate the influence of a given structure defined on the total manifold on the determination of the corresponding structure on the base manifold. Moreover, we provide an example, investigate various properties of the O'Neill's tensors for such submersions, find the integrability of the horizontal distribution and obtain necessary and sufficient conditions for the fibres of an almost para-Hermitian submersion to be totally geodesic. We also obtain curvature relations between the base manifold and the total manifold.Öğe Anti-invariant Pseudo-Riemannian Submersions and Clairaut Submersions from Paracosymplectic Manifolds(Springer Basel Ag, 2019) Gunduzalp, YilmazIn this paper, we investigate geometric properties of anti-invariant pseudo-Riemannian submersions whose total space is a paracosymplectic manifold. Then, we study new conditions for anti-invariant pseudo-Riemannian submersions to be Clairaut submersions. Also, examples are given.Öğe Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds(Hindawi Publishing Corporation, 2013) Gunduzalp, YilmazWe introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion, and check the harmonicity of such submersions. We also obtain curvature relations between the base manifold and the total manifold.Öğe ANTI-INVARIANT SUBMERSIONS FROM ALMOST PARACONTACT RIEMANNIAN MANIFOLDS(Honam Mathematical Soc, 2019) Gunduzalp, YilmazWe introduce anti-invariant Riemannian submersions from almost paracontact Riemannian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions.Öğe Clairaut anti-invariant submersions from locally product Riemannian manifolds(Springer Heidelberg, 2020) Gunduzalp, YilmazIn this paper, we investigate some geometric properties of Clairaut submersions whose total space is a locally product Riemannian manifold.Öğe Lagrangian and Clairaut anti-invariant semi-Riemannian submersions in para-Kaehler geometry(Soc Paranaense Matematica, 2024) Gunduzalp, Yilmaz; Polat, MuratPurpose of this article is to examine some geometric features of Clairaut anti-invariant semiRiemannian submersions from para-Kaehler manifold to a Riemannian manifold. We give Lagrangian semiRiemannian submersion in para-Kaehler space froms. Then, we investigate under what conditions Clairaut submersions can become anti-invariant semi-Riemannian submersions. After, we obtain conditions for totally geodesic on vertical and horizontal distributions. We also supply a non-trivial example of Clairaut submersion.Öğe Neutral Slant Submanifolds of a Para-Kahler Manifold(Hindawi Publishing Corporation, 2013) Gunduzalp, YilmazWe define and study both neutral slant and semineutral slant submanifolds of an almost para-Hermitian manifold and, in particular, of a para-Kahler manifold. We give characterization theorems for neutral slant and semi-neutral slant submanifolds. We also investigate the integrability conditions for the distributions involved in the definition of a semi-neutral slant submanifold when the ambient manifold is a para-Kahler manifold.Öğe Para-Contact Para-Complex Semi-Riemannian Submersions(Springer, 2014) Gunduzalp, Yilmaz; Sahin, BayramWe introduce the concept of para-contact para-complex semi- Riemannian submersions from an almost para-contact metric manifold onto an almost para-Hermitian manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold. Moreover, we investigate various properties of the O'Neill's tensors of such submersions and find the integrability of the horizontal distribution. We also obtain curvature relations between the base manifold and the total manifold. The paper is also focused on the transference of structures defined on the total manifold.Öğe PARA-CONTACT PRODUCT SEMI-RIEMANNIAN SUBMERSIONS(Ankara Univ, Fac Sci, 2017) Gunduzalp, YilmazWe introduce the concept of para-contact product semi-Riemannian submersions from an almost para-contact metric manifold onto a semi-Riemannian product manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold. Moreover, we investigate various properties of the O'Neill's tensors of such submersions, find the integrability of the horizontal distribution. The paper is also focused on the transference of structures defined on the total manifold.Öğe Paracontact semi-Riemannian submersions(Tubitak Scientific & Technological Research Council Turkey, 2013) Gunduzalp, Yilmaz; Sahin, BayramIn this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold. The study is focused on fundamental properties and the transference of structures defined on the total manifold. Moreover, we obtain various properties of the O'Neill's tensors for such submersions and find the integrability of the horizontal distribution. We also find necessary and sufficient conditions for a paracontact semi-Riemannian submersion to be totally geodesic. Finally, we obtain curvature relations between the base manifold and the total manifold.Öğe Pointwise hemi-slant Riemannian maps (PHSRM) from almost Hermitian manifolds(Hacettepe Univ, Fac Sci, 2024) Akyol, Mehmet Akif; Gunduzalp, YilmazIn 2022, the notion of pointwise slant Riemannian maps were introduced by Y. G & uuml;nd & uuml;zalp and M. A. Akyol in [J. Geom. Phys. 179, 104589, 2022] as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds. As a generalization of pointwise slant Riemannian maps and many subclasses notions, we introduce p ointwise hemi-slant Riemannian maps (briefly, PHSRM) ) from almost Hermitian manifolds to Riemannian manifolds, giving a figure which shows the subclasses of the map and a non-trivial (proper) example and investigate some properties of the map, we deal with their properties: the J-pluriharmonicity, the J-invariant, and the totally geodesicness of the map. Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for PHSRM, respectively.Öğe Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds(Univ Nis, Fac Sci Math, 2023) Gunduzalp, Yilmaz; Akyol, Mehmet AkifIn this paper, as a generalization of pointwise slant submanifolds [B-Y. Chen and O. J. Garay, Pointwise slant submanifolds in almost Hermitian manifolds, Turk J Math 36, (2012), 630-640.], pointwise slant submersions [J.W.Lee and B. S.ahin, Pointwise slant submersions, Bulletin of the Korean Mathematical Sosiety, 51(4), (2014), 115-1126.] and pointwise slant Riemannian maps [Y. Gu center dot ndu center dot zalp and M. A. Akyol, Pointwise slant Riemannian maps from Kaehler manifolds, Journal of Geometry and Physics, 179, (2002), 104589.], we introduce pointwise semi-slant Riemannian maps (briefly, PSSR maps) from almost Hermitian manifolds to Riemannian manifolds, present examples and characterizations. We also investigate the harmonicity of such maps. Moreover, we give Chen-Ricci inequality for a PSSR map. Finally, we study some curvature relations in complex space forms, involving Casorati curvatures for PSSR maps.Öğe PROPER BI-SLANT PSEUDO-RIEMANNIAN SUBMERSIONS WHOSE TOTAL MANIFOLDS ARE PARA-KAEHLER MANIFOLDS(Honam Mathematical Soc, 2022) Noyan, Esra Basarir; Gunduzalp, YilmazIn this paper, bi-slant pseudo-Riemannian submersions from para-Kaehler manifolds onto pseudo-Riemannian manifolds are introduced. We examine some geometric properties of three types of bi-slant submersions. We give non-trivial examples of such submersions. Moreover, we obtain curvature relations between the base space, total space and the fibers.Öğe QUASI HEMI-SLANT PSEUDO-RIEMANNIAN SUBMERSIONS IN PARA-COMPLEX GEOMETRY(Ankara Univ, Fac Sci, 2023) Basarir Noyan, Esra; Gunduzalp, YilmazWe introduce a new class of pseudo-Riemannian submersions which are called quasi hemi-slant pseudo-Riemannian submersions from para-Kaehler manifolds to pseudo-Riemannian manifolds as a natural generalization of slant submersions, semi-invariant submersions, semi-slant submersions and hemi-slant Riemannian submersions in our study. Also, we give non-trivial exam-ples of such submersions. Further, some geometric properties with two types of quasi hemi-slant pseudo-Riemannian submersions are investigated.Öğe RIEMANNIAN SUBMERSIONS FROM FRAMED METRIC MANIFOLDS(Int Electronic Journal Geometry, 2013) Gunduzalp, YilmazIn this paper, we first define the concept of framed submersions between framed metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the framed metric structure of the total manifold. Moreover, we obtain various properties of the O'Neill's tensors for such submersions and find the integrability of the horizontal distribution. We also find necessary and sufficient conditions for a framed submersion to be totally geodesic. The study is focused on fundamental properties and the transference of structures defined on the total manifold.Öğe SEMI-INVARIANT SEMI-RIEMANNIAN SUBMERSIONS(Ankara Univ, Fac Sci, 2018) Akyol, Mehmet Akif; Gunduzalp, YilmazIn this paper, we introduce semi-invariant semi-Riemannian sub-mersions from para-Kahler manifolds onto semi-Riemannian manifolds. We give some examples, investigate the geometry of foliations that arise from the definition of a semi-Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a semi invariant semi-Riemannian submersion to be totally geodesic. Moreover, we obtain curvature relations between the base manifold and the total manifold.Öğe SEMI-SLANT SUBMERSIONS FROM ALMOST PRODUCT RIEMANNIAN MANIFOLDS(De Gruyter Open Ltd, 2016) Gunduzalp, YilmazIn this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a semi-slant submersion to be totally geodesic.Öğe Slant submersions from almost paracontact Riemannian manifolds(Academic Publication Council, 2015) Gunduzalp, YilmazIn this paper, we introduce slant submersions from almost paracontact Riemannian manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.Öğe Slant submersions from almost product Riemannian manifolds(Tubitak Scientific & Technological Research Council Turkey, 2013) Gunduzalp, YilmazIn this paper, we define the concept of almost product Riemannian submersion between almost product Riemannian manifolds. We introduce slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations that arise from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.