1 Pseudo - Riemannian Geometry
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چکیده
منابع مشابه
Generalized pseudo-Riemannian geometry
Generalized tensor analysis in the sense of Colombeau’s construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving several characterizations of invertibility in the algebra of generalized functions we define the notions of generalized pseudo-Riemannian metric, generalized connection and generalized curvature tensor. We prove a “Fun...
متن کاملSpaces of pseudo - Riemannian geodesics and pseudo - Euclidean billiards Boris
In pseudo-Riemannian geometry the spaces of space-like and timelike geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while the space of light-like geodesics has a natural contact structure. Furthermore, the space of all geodesics has a structure of a Jacobi manifold. We describe the geometry of these structures and their generaliza...
متن کاملPseudo-Riemannian geodesics and billiards
In pseudo-Riemannian geometry the spaces of space-like and timelike geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while the space of light-like geodesics has a natural contact structure. Furthermore, the space of all geodesics has a structure of a Jacobi manifold. We describe the geometry of these structures and their generaliza...
متن کاملSpaces of pseudo-Riemannian geodesics and pseudo-Euclidean billiards
Many classical facts in Riemannian geometry have their pseudoRiemannian analogs. For instance, the spaces of space-like and timelike geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while the space of light-like geodesics has a natural contact structure. We discuss the geometry of these structures in detail, as well as introduce an...
متن کامل. D G ] 1 1 A pr 2 00 0 PSEUDO - RIEMANNIAN METRICS WITH PARALLEL SPINOR FIELDS AND VANISHING RICCI TENSOR
— I will discuss geometry and normal forms for pseudo-Riemannian metrics with parallel spinor fields in some interesting dimensions. I also discuss the interaction of these conditions for parallel spinor fields with the Einstein equations.
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تاریخ انتشار 2010