http://webbuild.knu.ac.kr/~yjsuh/Publications/2004/[2004]4%20Baek,%20Cheng,%20Suh.pdf

Complete space-like hypersurfaces in locally symmetric Lorentz spaces

The purpose of this paper is to classify real hypersurfaces of quaternionic projective spaces whose Ricci tensor satisfy a pair of conditions on the maximal quaternionic distribution $\mathfrak{D}^ \bot = Span\left\{ {U_1 ,U_2 ,U_3 } \right\}$.

Certain Conditions on the Ricci Tensor of Real Hypersurfaces in Quaternionic Projective Spaces

On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

In this paper, we establish a characterization theorem concerning the complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space, whose sectional curvature is supposed to obey certain appropriated conditions Under a suitable restriction on the length of the second fundamental form, we prove that a such spacelike hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple

Complete Linear Weingarten Spacelike Hypersurfaces Immersed in a Locally Symmetric Lorentz Space

Our purpose is to study the geometry of linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Einstein spacetime, whose sectional curvature is supposed to obey some standard restrictions. In this setting, by using as main analytical tool a generalized maximum principle for complete non-compact Riemannian manifolds, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures, one of which is simple. Applications to the de Sitter space are given.

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Characterizations Of Linear Weingarten Spacelike Hypersurfaces In Einstein Spacetimes

Complete space-like hypersurfaces in a Lorentz manifold

The purpose of this paper is to give a characterization of real hypersurfaces of type A0, A in a quaternionic hyperbolic spaceQHm by the covariant derivative of the second fundamental tensor.

On real hypersurfaces in a quaternionic hyperbolic space in terms of the derivative of the second fundamental tensor

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Real Hypersurfaces In Complex Hyperbolic Space With $\eta$ -Recurrent Second Fundamental Tensor

Real hypersurfaces in complex space forms with η-recurrent Ricci tensor

The purpose of this paper is to give a non-existence property with the Lie derivative of the structure tensors φi and some characterizations of real hypersurfaces of type A1, A2 in a quaternionic projective space QPm in terms of the Lie derivatives of the second fundamental tensor A and the induced Riemannian metric g on the distribution D⊥ = Span {U2, U2, U3}.

Seon Mi Lyu

Papers

Complete space-like hypersurfaces in a Lorentz manifold

On real hypersurfaces in a quaternionic hyperbolic space in terms of the derivative of the second fundamental tensor

Real Hypersurfaces In Complex Hyperbolic Space With $\eta$ -Recurrent Second Fundamental Tensor

Real hypersurfaces in complex space forms with η-recurrent Ricci tensor

Some Conditions on Real Hypersurfaces in Quaternionic Projective Spaces in Terms of Lie Derivatives