larder
发表于 2025-3-25 06:51:17
http://reply.papertrans.cn/59/5887/588647/588647_21.png
修改
发表于 2025-3-25 10:57:46
Umbilical Spacelike Submanifolds of Arbitrary Co-dimension,long normal directions. We do that by using the so-called ., i.e., the trace-free part of the second fundamental form. We define the . and the . as the spaces generated by the total shear tensor and by the umbilical vector fields, respectively. We show that the sum of their dimensions must equal the
整顿
发表于 2025-3-25 14:31:58
A Study in Stationary: Geometric Properties of Stationary Regions and Regularity of Their Horizons, inextricably connected with the investigation of stationary black holes arising as solutions of the Einstein field equations. Although the most important results, such as those pertaining to the issue of black hole uniqueness (Stationary black holes: uniqueness and beyond, Living Rev, Relativity, [
猛然一拉
发表于 2025-3-25 16:36:18
http://reply.papertrans.cn/59/5887/588647/588647_24.png
stratum-corneum
发表于 2025-3-25 21:08:34
Some Criteria for Wind Riemannian Completeness and Existence of Cauchy Hypersurfaces,anders metrics. Here, we further develop this notion and its applications to spacetimes, by introducing some characterizations and criteria for the completeness of WRS’s. As an application, we consider a general class of spacetimes admitting a time function . generated by the flow of a complete Kill
Innovative
发表于 2025-3-26 02:08:57
http://reply.papertrans.cn/59/5887/588647/588647_26.png
sparse
发表于 2025-3-26 06:42:48
Trivalent Maximal Surfaces in Minkowski Space,rfaces admit a Weierstrass-type representation in terms of discrete holomorphic quadratic differentials. There are two particular types of discrete maximal surfaces that are obtained by taking the real part and the imaginary part of the representation formula, and they are deformable to each other b
FEMUR
发表于 2025-3-26 12:11:24
http://reply.papertrans.cn/59/5887/588647/588647_28.png
Ejaculate
发表于 2025-3-26 16:00:40
,Calabi–Bernstein-Type Problems in Lorentzian Geometry,tial differential equations, and certain problems in mathematical relativity. One of the more celebrated results in the context of global geometry of maximal hypersurfaces is the Calabi–Bernstein theorem in the Lorentz–Minkowski spacetime. The nonparametric version of this theorem states that the on
galley
发表于 2025-3-26 18:58:37
Null Hypersurfaces on Lorentzian Manifolds and Rigging Techniques, a null hypersurface and also to define a Riemannian metric on it, called rigged metric. This metric can be used as an auxiliary tool to study the null hypersurface. Its Levi-Civita connection is called rigged connection and, in general, it will not coincide with the induced connection on the null h