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In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...
In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.
In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic...
Togethere with I Rodnianski we investigate the regularity of past boundaries of points in regular Einstein-vacuum spacetimes. We provide conditions, compatible with bounded L^2 curvature, which are su...
In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightli...
We consider hypersurfaces S \subset \RR3 with zero Gaussian curvature at every ordinary point with surface measure dS and define the surface measure dm = y(x)dS(x) for smooth function y with compact s...
In this paper, we study a Lightlike hypersurface of a semi-Riemann manifold. We show that a lightlike hypersurface is totally geodesic if and only if it is locally symmetric. Also, we show that a ligh...
In this paper we study pseudosymmetry type hypersurfaces in the Euclidean space \Bbb{E}n+1 satisfying B. Y. Chen's equality.
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.
We extend a result of to Esnault-Levine-Viehweg concerning the Chow groups of hypersurfaces in projective space to those in weighted projective spaces.
Cayley Hypersurfaces     Cayley Hypersurfaces  math       2010/11/1
We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface
We consider some graph type hypersurfaces in a semi-Euclidean space \Bbb Rn+1q and give conditions of the dimension n+1 and the index q when a hypersurface is lightlike, totally geodesic and minimal.

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