Results 141 to 150 of about 217,631 (179)

On totally geodesic invariant submanifolds of an S-manifold

open access: yes, 2016
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.
openaire   +2 more sources

Loop Quantum Cosmology. [PDF]

open access: yesLiving Rev Relativ, 2008
Bojowald M.
europepmc   +1 more source

Complex structures, totally real and totally geodesic submanifolds of compact 3-symmetric spaces, and affine symmetric spaces

open access: yes
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

open access: yesA Practical Criterion For Some Submanifolds To Be Totally Geodesic
論文(Article)
openaire   +1 more source

Totally geodesic submanifolds of the complex quadric [PDF]

open access: yesDifferential Geometry and Its Applications, 2008
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
exaly   +4 more sources

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