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Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks

2007
Total curvatures of boundaries of geodesic disks in Riemannian manifolds are investigated. The first terms in the corresponding power series expansions are obtained for the total scalar curvature and the L 2-norms of the scalar curvature, the Ricci tensor and the curvature tensor.
J. C. Díaz-Ramos   +2 more
openaire   +1 more source

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 \(T_p \Sigma\).
openaire   +2 more sources

A Totally Real Surface in CP 2 that is not Totally Geodesic

Proceedings of the American Mathematical Society, 1975
Ludden, Gerald D.   +2 more
openaire   +2 more sources

Principal angles and pairs of totally geodesic submanifolds of the real hyperbolic space

Linear and Multilinear Algebra, 2022
José L Vilca Rodriguez
exaly  

Total curvatures of geodesic spheres

Archiv der Mathematik, 1979
Chen, Bang-Yen, Vanhecke, Lieven
openaire   +1 more source

A classification of totally geodesic and totally umbilical Legendrian submanifolds of $$(\kappa ,\mu )$$ ( κ , μ ) -spaces

Annals of Global Analysis and Geometry, 2018
Alfonso Carriazo   +2 more
exaly  

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