Webspacelike hypersurface of a Lorentzian manifold (Sn;1;g~) with pbeing the second fundamental form. The components T 00 and T ... the scalar curvature and the mean curvature of the boundary are strictly positive. Then the boundary @M and a plane asymptotically parallel to @M serve as the http://www.numdam.org/item/ASNSP_2010_5_9_3_541_0.pdf
A Möbius scalar curvature rigidity on compact conformally flat ...
WebNov 30, 2012 · It is well known to geometric analyst that the scalar curvature of a Riemannian manifold can be decomposed to two parts: one part has a divergence … WebMay 7, 2015 · Inspired by the generalized Christoffel problem, we consider a class of prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in \begin{document}$ \mathbb{H}^{n+1} $\end ... tss hervey bay
MANIFOLDS OF POSITIVE SCALAR CURVATURE: A …
WebApr 13, 2024 · Let M be a compact hypersurface with constant mean curvature in $${\mathbb{S}^{n + 1}}$$ . Denote by H and S the mean curvature and the squared norm of the second fundamental form of M, respectively. ... The scalar curvature of minimal hypersurfaces in a unit sphere. Commun Contemp Math, 2007, 9: 183–200. Article … Webin a scalar-flat hypersurface, similar to the flux formula for a regular end in a minimal surface. In Section 3 we prove the theorem on two-ended scalar-flat hypersurfaces. We present in an appendix (Section 4) the asymptotic expansion, at infinity, of a rotational scalar-flat graph. The notion of a regular scalar-flat end relies on that ... WebIn differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian or pseudo-Riemannian metric on a manifold.It can be considered, broadly, as a measure of the degree to which the geometry of a given metric tensor differs locally from that of ordinary Euclidean space or … tss hepa testing