Results 11 to 20 of about 3,612 (103)
Transversal Jacobi Operators in Almost Contact Manifolds
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
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Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form [PDF]
Canadian Mathematical Bulletin, 2019 AbstractWe first provide a necessary and sufficient condition for a ruled real hypersurface in a nonflat complex space form to have constant mean curvature in terms of integral curves of the characteristic vector field on it. This yields a characterization of minimal ruled real hypersurfaces by circles.
Maeda, Sadahiro +2 more
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Curvature-adapted submanifolds of symmetric spaces [PDF]
, 2012 We study curvature-adapted submanifolds of general symmetric spaces. We generalize Cartan's theorem for isoparametric hypersurfaces of spheres and Wang's classification of isoparametric Hopf hypersurfaces in complex projective spaces to any compact ...
Murphy, Thomas
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Open Mathematics, 2015 In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina +1 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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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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The automorphism group of an affine quadric
, 2006 We determine the automorphism group for a large class of affine quadric hypersurfaces over a field, viewed as affine algebraic varieties. In particular, we find that the group of real polynomial automorphisms of the n-sphere is just the orthogonal group ...
BURT TOTARO, Karpenko, Knebusch, Lam
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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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Measures for a Transdimensional Multiverse
, 2010 The multiverse/landscape paradigm that has emerged from eternal inflation and string theory, describes a large-scale multiverse populated by "pocket universes" which come in a huge variety of different types, including different dimensionalities.
A. De Simone . +29 more
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