Results 101 to 110 of about 48,546 (184)

On curvatures of homogeneous sub-Riemannian manifolds

, 2017
The author discusses in some detail the old definitions of the curvature tensors for rigged metrized distributions on manifolds given by Schouten, Wagner, and Solov'ev. To calculate the Solov'ev sectional and Ricci curvatures for homogeneous sub-Riemannian manifolds, the author suggests to use in some cases special riggings of invariant completely non-
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Free torus actions and twisted suspensions

Forum of Mathematics, Sigma
We express the total space of a principal circle bundle over a connected sum of two manifolds in terms of the total spaces of circle bundles over each summand, provided certain conditions hold.
Fernando Galaz-García, Philipp Reiser
doaj   +1 more source

On some tensors of six-dimensional Hermitian planar submanifolds of Cayley algebra

Дифференциальная геометрия многообразий фигур
In the present note, we consider six-dimensional Hermitian planar sub­manifolds of Cayley algebra. The almost Hermitian structure on such a six-dimensional submanifold is induced by means of so-called Brown — Gray three-fold vector cross products in ...
Banaru G. A.
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Homogeneous Riemannian manifolds of negative curvature [PDF]

Tohoku Mathematical Journal, 1962
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Instability of elliptic equations on compact Riemannian manifolds with non-negative Ricci curvature

Electronic Journal of Differential Equations, 2010
We prove the nonexistence of nonconstant local minimizers for a class of functionals, which typically appear in scalar two-phase field models, over smooth N-dimensional Riemannian manifolds without boundary and non-negative Ricci curvature ...
Arnaldo S. Nascimento, Alexandre C. Goncalves   +1 more
doaj  

Complete homogeneous riemannian manifolds of negative sectional curvature

Commentarii Mathematici Helvetici, 1975
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Surgery and positive Bakry-Émery Ricci curvature. [PDF]

Calc Var Partial Differ Equ
Reiser P, Tripaldi F.
europepmc   +1 more source

Curvature-preserving transformations of $K$-contact Riemannian manifolds [PDF]

Kodai Mathematical Journal, 1967
openaire   +3 more sources

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]

Manuscr Math
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc   +1 more source

Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]

Sci Rep
Caputi L, Pidnebesna A, Hlinka J.
europepmc   +1 more source