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On one class of holonomy groups in pseudo-Riemannian geometry
holonomy groups pseudo-Riemannian geometry Differential Geometry
2011/9/5
Abstract: We prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the centraliser of L in SO(g) is a holonomy group for a ...
Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Basic Riemannian Geometry Sobolev Estimates used Symplectic Topology
2011/2/22
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace
theory that play a prominent role in analytic approaches to symplectic topology. These
include relations...
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
almost-Riemannian geometry conjugate and cut loci
2010/12/6
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Rieman-nian geometry. We compute estimations of the exponential map wh...
Almost commutative Riemannian geometry, I: wave operators
noncommutative geometry quantum groups quantum gravity
2010/12/3
Associated to any (pseudo)-Riemannian manifold M of dimension n is an n + 1-dimensional noncommutative di erential structure (1; d)on the manifold.
Non-Riemannian Geometry of Twisted Flux Tubes
Twisted flux tubes Non-Riemannanian geometry
2010/10/13
New examples of the theory recently proposed by Ricca [PRA(1991)] on the generalization of Da Rios-Betchov intrinsic equations on curvature and torsion of classical non-Riemannian vortex higher-dimens...