Clairaut semi-invariant riemannian maps to kähler manifolds
Yükleniyor...
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, first, we recall the notion of Clairaut Riemannian map (CRM) F using a geodesic curve on the base manifold and give the Ricci equation. We also show that if base manifold of CRM is space form then leaves of (kerF∗)⊥ become space forms and symmetric as well. Secondly, we define Clairaut semi-invariant Riemannian map (CSIRM) from a Riemannian manifold (M,gM) to a Kähler manifold (N,gN,P) with a non-trivial example. We find necessary and sufficient conditions for a curve on the base manifold of semi-invariant Riemannian map (SIRM) to be geodesic. Further, we obtain necessary and sufficient conditions for a SIRM to be CSIRM. Moreover, we find necessary and sufficient condition for CSIRM to be harmonic and totally geodesic. In addition, we find necessary and sufficient condition for the distributions D1¯ and D2¯ of (kerF∗)⊥ (which are arisen from the definition of CSIRM) to define totally geodesic foliations. Finally, we obtain necessary and sufficient conditions for (kerF∗)⊥ and base manifold to be locally product manifold D1¯×D2¯ and (rangeF∗)×(rangeF∗)⊥, respectively.
Açıklama
Anahtar Kelimeler
53C43, Clairaut Riemannian maps, Harmonic maps, Kähler manifolds, Primary 53B20, Riemannian maps, Secondary 53B35, Semi-invariant Riemannian maps
Kaynak
Mediterranean Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
21
Sayı
3
Künye
Polat, M. ve Meena, K. (2024). Clairaut semi-invariant riemannian maps to kähler manifolds. Mediterranean Journal of Mathematics, 21(3), 1-19.
