Totally Umbilical Lightlike Hypersurfaces in Robertson-Walker Spacetimes | Zendy

Junhong Dong | Zendy; Ximin Liu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Totally Umbilical Lightlike Hypersurfaces in Robertson-Walker Spacetimes

Author(s) -

Junhong Dong,

Ximin Liu

Publication year - 2014

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.1155/2014/974695

Subject(s) - hypersurface , bundle , minkowski space , curvature , mean curvature , mathematics , normal bundle , constant (computer programming) , pure mathematics , mathematical analysis , mathematical physics , geometry , vector bundle , computer science , materials science , composite material , programming language

We study the problem of lightlike hypersurface immersed into Robertson-Walker (RW) spacetimes in this paper, where the screen bundle of the hypersurface has constant higher order mean curvature. We consider the following question: under what conditions is the compact lightlike hypersurface totally umbilical? Our approach is based on the relationship between the lightlike hypersurface with its screen bundle and the Minkowski formulae for the screen bundle.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research