Screen Transversal Cauchy Riemann Lightlike Submanifolds
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce a new class of lightlike submanifolds, namely, Screen Transversal Cauchy Riemann (STCR)-lightlike submanifolds, of indefinite Kahler manifolds. We show that this new class is an umbrella of screen transversal lightlike, screen transversal totally real lightlike and CR-lightlike submanifolds. We give a few examples of a STCR lightlike submanifold, investigate the integrability of various distributions, obtain a characterization of such lightlike submanifolds in a complex space form and find new conditions for the induced connection to be a metric connection. Moreover, we investigate the existence of totally umbilical (STCR)-lightlike submanifolds and minimal (STCR)-lightlike submanifolds. The paper also contains several examples.
Açıklama
Anahtar Kelimeler
Indefinite Kahler manifold, Lightlike submanifold, Screen transversal lightlike submanifold, STCR-lightlike submanifold Killing horizon, Minimal lightlike submanifold
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
34
Sayı
5