A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Congruence classes of minimal ruled real hypersurfaces in a nonflat complex space form
Hokkaido Mathematical Journal, 2014 In this paper we study congruency of minimal ruled real hypersurfaces in a nonflat complex space form with respect to the action of its isometry group. We show that those in a complex hyperbolic space are classified into 3 classes and show that those in a complex projective space are congruent to each other hence form just one class.
ADACHI, Toshiaki +2 more
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A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space
Journal of the Mathematical Society of Japan, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MAEDA, Sadahiro +2 more
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Hokkaido Mathematical Journal, 2019 The purpose of this paper is to give geometric characterizations of minimal ruled real hypersurfaces $M$ in a non-flat complex space form by paying particular attention to integral curves of the characteristic vector field on $M$.
KIMURA, Makoto +2 more
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Intrinsic Geometry of a Null Hypersurface [PDF]
, 2000 We apply Cartan's method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of such surfaces and hence solve the local equivalence problem for null ...
Ashtekar A +8 more
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On ruled real hypersurfaces in a complex space form
Tsukuba Journal of Mathematics, 1993 A real hypersurface \(M\) of a complex space form \(N\) is said to be ruled if \(M\) is foliated by one-codimensional totally geodesic complex submanifolds of \(N\). The authors provide a sufficient condition for a real hypersurface in a non-flat complex space form to be ruled.
Ahn, Seong-Soo +2 more
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Ruled real hypersurfaces having the same sectional curvature as that of an ambient nonflat complex space form [PDF]
Kodai Mathematical Journal, 2016 Ruled real hypersurfaces in a nonflat complex space form $\tilde{M}_n(c) (n ≧ 2)$ are obtained by having a one-codimensional foliation whose leaves are totally geodesic complex hypersurfaces of the ambient space. Motivated by a fact that the sectional curvature $K$ of every ruled real hypersurface $M$ in $\tilde{M}_n(c) (n ≧ 3)$ satisfies $|c/4| ≦ |K(X,
Maeda, Sadahiro +2 more
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On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon [PDF]
, 1998 We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics. The black hole event horizon or, respectively,
Friedrich, Helmut +2 more
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Sectional curvatures of ruled real hypersurfaces in a complex hyperbolic space
Differential Geometry and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maeda, Sadahiro, Tanabe, Hiromasa
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On geometry of hypersurfaces of a pseudoconformal space of Lorentzian signature
, 1998 There are three types of hypersurfaces in a pseudoconformal space C^n_1 of Lorentzian signature: spacelike, timelike, and lightlike. These three types of hypersurfaces are considered in parallel.
Akivis +12 more
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