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Real hypersurfaces foliated by totally real totally geodesic submanifolds

Differential Geometry and its Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makoto Kimura   +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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Principal angles and pairs of totally geodesic submanifolds of the real hyperbolic space

Linear and Multilinear Algebra, 2022
JOSÉ Luis Vilca Rodríguez
exaly  

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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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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