Results 141 to 150 of about 217,631 (179)
On totally geodesic invariant submanifolds of an S-manifold
In [1] Blair, O.E.: 1970, J. Diff. Geom. 4, (155-167), S-manifolds, which reduce in a special case to Sasakian manifolds, we redefined. In this note, a condition for an invariant submanifold of codimension greater than 2 in a n S-manifold to be totally geodesic is obtained.
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Differential geometry of grassmann manifolds. [PDF]
Wong YC.
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Metric rigidity theorems on Hermitian locally symmetric spaces. [PDF]
Mok N.
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Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article. [PDF]
Szabados LB.
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Holomorphic embedding of complex curves in spaces of constant holomorphic curvature. [PDF]
Chavel I, Rauch HE.
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We construct invariant complex structures of a compact 3-symmetric space by means of the canonical almost complex structure of the underlying manifold and some involutions of a Lie group.
Tojo, Koji
core
A Practical Criterion For Some Submanifolds To Be Totally Geodesic
論文(Article)
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Totally geodesic submanifolds of regular Sasakian manifolds
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Totally geodesic submanifolds of the complex quadric [PDF]
In this article, relations between the root space decomposition of a Riemannian symmetric space of compact type and the root space decompositions of its totally geodesic submanifolds (symmetric subspaces) are described. These relations provide an approach to the classification of totally geodesic submanifolds in Riemannian symmetric spaces. In this way
Sebastian Klein
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