Rakesh KUMAR, Rakesh KUMAR NAGAICH, Varun JAİN

6194

Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds

In present paper, after finding the conditions for the integrability of various distributions of a GCR-lightlike submanifold of indefinite Kenmotsu manifolds, we prove that there do not exist totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds other than totally contact geodesic GCR-lightlike submanifolds and moreover it is a totally geodesic GCR-lightlike submanifold.
Keywords:

Indefinite Kenmotsu manifolds, GCR-lightlike submanifolds, totally contact umbilical GCR-lightlike submanifolds,

PDF

___

  • . . .
Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Arşiv
Sayıdaki Diğer Makaleler

Maximal,irreducibleandprimesoftidealsof BCK/BCI-algebra

U. ACAR, Y. ÖZTÜRK

N. AHANJİDEH, M. Foroudi GHASEMABADI

Zhu WEI, Yongzheng ZHANG, Qingcheng ZHANG

Suchandan KAYAL

Contact CR-warped product submanifoldsin Sasakian space forms

Mehmet ATÇEKEN

Rakesh KUMAR, Rakesh KUMAR NAGAICH, Varun JAİN

Applications of k-Fibonacci numbers for the starlike analytic functions

Janusz SOKOL, Ravinder Krishna RAINA, Nihal ÖZGÜR YILMAZ

Cristinel MORTICI

Budi WARSITO, Subanar, Abdurakhman

Hongxia HAO, Xiaoqin ZHANG, Jiye LIANG