Results 141 to 150 of about 187 (169)

A Practical Criterion For Some Submanifolds To Be Totally Geodesic

Monatshefte Fur Mathematik, 2006
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Sadahiro Maeda, Maeda Sadahiro
exaly   +3 more sources

Totally geodesic submanifolds in Lie groups

Acta Mathematica Hungarica, 2006
We study minimal and totally geodesic submanifolds in Lie groups and related problems. We show that: (1) The imbedding of the Grassmann manifold G F (n,N) in the Lie group G F (N) defined naturally makes G F (n,
exaly   +2 more sources

TOTALLY GEODESIC SUBMANIFOLDS OF GL-MANIFOLDS

International Journal of Geometric Methods in Modern Physics, 2012
In this paper, for a Finsler manifold (M, F) with a Finsler metric gij(x, y) we shall consider a generalized Lagrange metrics (FGL-metrics) as the form *gij(x, y) = gij(x, y) + σ(x, y)Bi(x, y)Bj(x, y) on TM. Then we shall consider a Riemannian manifold (TM, *G) in which *G is a generalized Sasakian metric of *g on [Formula: see text]. Then we restrict
Laleh, Abolghasem, Rezaii, Morteza M., Hushmandi, Ataabak Baagherzadeh   +2 more
openaire   +1 more source

Isometric mappings and totally geodesic submanifolds of Finsler manifolds

Periodica Mathematica Hungarica
Rongmu Yan
exaly   +2 more sources

Submanifolds with totally geodesic Gauss image

Geometriae Dedicata, 1984
This is a continuation for higher dimensions of the author's paper [Indiana Univ. Math. J. 32, 143-154 (1983; Zbl 0471.53004]. Beyond the property of totally geodesic Gauss map (into the Grassmannian) additional assumptions like ''conformal Gauss map'' or ''flat normal connection'' are needed to obtain significant consequences.
Chen, Bang-Yen, Yamaguchi, Seiichi
openaire   +2 more sources

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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The characterization of totally geodesic submanifolds ofS m andCP m

Journal of Soviet Mathematics, 1990
See the review in Zbl 0576.53034.
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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.
openaire   +2 more sources