Results 181 to 190 of about 214,617 (202)

The Totally Geodesic Coisotropic Submanifolds in Kähler Manifolds

Geometriae Dedicata, 2002
A real submanifold \(\Sigma\) in a symplectic manifold \((M^{2n}, \omega)\) is said to be a coisotropic submanifold if \(T_p\Sigma^\omega \subset T_p\Sigma\) for all \(p\in\Sigma\), where \(T_p\Sigma^\omega= \{X\in T_pM\mid \omega (X,Y)=0\), \(\forall Y\subset T_p\Sigma\}\) is the symplectic complement of \(T_p \Sigma\).
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Real hypersurfaces foliated by totally real totally geodesic submanifolds

Differential Geometry and its Applications, 2023
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Makoto Kimura, Sadahiro Maeda, Hiromasa Tanabe   +2 more
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On totally geodesic submanifolds of Lorentzian Sasakian manifolds

Journal of Interdisciplinary Mathematics
In this paper, properties of totally geodesic submanifolds of Lorentzian Sasakian manifolds are discussed.
Sushil Shukla, Ayush Ojha, Shubham Kumar
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Totally Geodesic Submanifolds of Riemannian Symmetric Spaces

2014
The index of a Riemannian manifold is defined as the minimal codimension of a totally geodesic submanifold. In this note we discuss two recent results by the author and Olmos (Berndt and Olmos, On the index of symmetric spaces, preprint, arXiv:1401.3585) and some related topics.
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Symmetry properties for submanifolds and totally geodesic maps

1997
A submanifold \(M\) of an Euclidean space is \(2\)-symmetric if for each \(x\in M\) there exists an involutory isometry \(s_x\) of the ambient space, with fixed point \(x\) isolated on \(M\) and mapping locally \(M\) onto itself. All totally geodesic submanifolds of a symmetric submanifold of an Euclidean space are \(2\)-symmetric.
MAZZOCCO, Renzo, ROMANI G.
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Characterizations for an invariant submanifold of an almost α-cosymplectic (κ,μ,ν)-space to be totally geodesic

Filomat, 2022
Mehmet Atçeken
exaly  

Every Totally Umbilical Proper Slant Submanifold of a Kähler Manifold is Totally Geodesic

Results in Mathematics, 2008
Bayram Şahin, Şahin Bayram
exaly  

Totally Geodesic Submanifolds of a Sasakian Manifold

北海道教育大学紀要. 第二部. A, 数学・物理学・化学・工学編, 1985
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A totally geodesic submanifold of the multivariate normal distributions and bounds for the Fisher-Rao distance

2016
João Eloir Strapasson, Sueli I R Costa, Julianna Pinele   +2 more
exaly  

Characterization of Curves that Lie on a Geodesic Sphere or on a Totally Geodesic Hypersurface in a Hyperbolic Space or in a Sphere

Mediterranean Journal of Mathematics, 2018
JOSÉ Deibsom da Silva, Luiz C B da Silva   +1 more
exaly