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Some Results on Null Hypersurfaces in (LCS)-manifolds

Samuel Ssekajja
경북대학교 자연과학대학 수학과|2019.12|Kyungpook Mathematical Journal|제59권 제4호|pp. 783-795|DOI 10.5666/KMJ.2019.59.4.783

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키워드

null hypersurfacesAscreen null hypersurfacesLorentzian concircular structure manifolds
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초록

We prove that a Lorentzian concircular structure (LCS)-manifold does not admit any null hypersurface which is tangential or transversal to its characteristic vector eld. Due to the above, we focus on its ascreen null hypersurfaces and show that such hypersurfaces admit a symmetric Ricci tensor. Furthermore, we prove that there are no totally geodesic ascreen null hypersurfaces of a conformally at (LCS)-manifold.

Abstract

We prove that a Lorentzian concircular structure (LCS)-manifold does not admit any null hypersurface which is tangential or transversal to its characteristic vector eld. Due to the above, we focus on its ascreen null hypersurfaces and show that such hypersurfaces admit a symmetric Ricci tensor. Furthermore, we prove that there are no totally geodesic ascreen null hypersurfaces of a conformally at (LCS)-manifold.

참고문헌 (18)

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관련 논문AI추천

Geometry of isoparametric null hypersurfaces of Lorentzian manifoldsSamuel Ssekajja대한수학회 · 대한수학회지2020 · 제57권 제1호On $3$-dimensional Lorentzian concircular structure manifoldsAbsos Ali Shaikh, Sudhakar Kumar Chaubey대한수학회 · 대한수학회논문집2019 · 제34권 제1호A Characterization Theorem for Lightlike Hypersurfaces of Semi-Riemannian Manifolds of Quasi-Constant Curvatures진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제1호SCREEN CONFORMAL EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM진대호대한수학회 · 대한수학회논문집2010 · 제25권 제2호LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호Some Symmetric Properties on (LCS)n-manifoldsRahuthanahalli Thimmegowda Naveen Kumar, Venkatesha경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호

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