Screen Transversal Cauchy Riemann Lightlike Submanifolds

Küçük Resim Yok

Tarih

2020

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

Künye