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The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
The geodesic flow on a Riemannian supermanifold
The geodesic flow Riemannian supermanifold Differential Geometry
2011/8/31
Abstract: We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associated to the...
CHARACTERIZATION OF TOTALLY GEODESIC TOTALLY REAL 3-DIMENSIONAL SUBMANIFOLDS IN THE 6-SPHERE
Ricci curvature totally real submanifold nearly Kaehler 6-sphere totally geodesic submanifold
2007/12/13
In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6-sphere. We derive a pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of the totall...
Killing and Geodesic Lightlike Hypersurfaces of Indefinite Sasakian Manifolds
Lightlike Hypersurfaces Indefinite Sasakian Screen Distribution
2010/2/25
In this paper, we study a lightlike hypersurface of indefinite Sasakian manifold, tangent to the structure vector field x. Theorems on parallel and Killing distributions are obtained. Necessary and su...