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Metric inequalities with scalar curvature

Web12 okt. 2024 · We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below, in the spirit of the classical bound on the distances between conjugates points in surfaces with positive sectional curvature. WebIn this article we obtain a priori estimates for solutions to the prescribed scalar curvature equation on 2- and 3-spheres under a nondegeneracy ... Metric Inequalities with Scalar Curvature. 11 June ... Schoen, R.: Conformal metrics with prescribed scalar curvature. Invent. Math.86, 243–254 (1986) Google Scholar Gursky, M ...

Metric Inequalities with Scalar Curvature – arXiv Vanity

Web12 okt. 2024 · Abstract: We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below, in the … WebIn this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed. We obtain the Gauss, Codazzi, and Ricci equations in both cases. Moreover, Chen’s inequalities are also obtained in both … arti dianiaya https://nextgenimages.com

Metric Inequalities with Scalar Curvature Semantic Scholar

Web1 jun. 2024 · Abstract We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below. In so far as geometry is... WebWe establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below, in the spirit of the classical … WebPositive scalar curvature and exotic aspherical manifolds - Jialong DENG 邓嘉龙, YMSC Scalar curvature is interesting not only in analysis, geometry and topology but also in physics. For example, the positive mass theorem, which was proved by Schoen and Yau in 1979, is equivalent to the result that the three-dimension torus carries no Riemannian … banda eraser

Metric Inequalities with Scalar Curvature SpringerLink

Category:[PDF] On closed surfaces with nonnegative curvature in the …

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Metric inequalities with scalar curvature

[PDF] On closed surfaces with nonnegative curvature in the …

Web21 nov. 2024 · This condition naturally arises for stable minimal surfaces in 3-manifolds with positive scalar curvature. We show isoperimetric inequalities, area growth theorems and diameter bounds for such surfaces. The validity of these inequalities are subject to certain bounds for $\beta$. Associated to a positive super-solution $\Delta\varphi\leq\beta K ... WebWe establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below. In so far as geometry is …

Metric inequalities with scalar curvature

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WebThis inequality agrees with the obvious one in the 2-sphere (where the conventionally defined scalar curvature equals twice the sectional curvature) where the widths of the bands between concentric circles as well as the distances between opposite sides of (all) quadrilaterals are bounded by2π 2 WebWe establish several inequalities for manifolds with positive scalar cur-vature and, more generally, for the scalar curvature bounded from below. In so far as geometry is …

Web10 mrt. 2014 · We explicitly calculate this 3-form for homogeneous metrics on 3-spheres, and we discuss how the cohomology theory tmf could potentially encode obstructions to … WebDe- lanoë entitled Generalized stereographic projections with prescribed scalar curva- ture, which will appear in Geometry, Physics, and Nonlinear PDE's, edited by V. Oliker and A. Treibergs, a volume in the Contemporary Mathematics series published by the American Mathematical Society.

Web26 aug. 2024 · We also derive explicit quantitative distance estimates in case the scalar curvature is uniformly positive in some region of the chosen end $\mathcal{E}$. Here we … WebWe establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below. In so far as geometry is …

Web5 mei 2024 · Going back to the original variables, this implies that holds, concluding the proof.Funding. This work has been done while G.C. was visiting the University of Texas at Austin under the support of NSF FRG Grant DMS-1361122, the Oden Fellowship at ICES, the GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM), and the FIR project …

Web1 apr. 1995 · This is a short selected survey of results on scalar curvature rigidity of certain symmetric spaces, in particular, for the Euclidean, hyperbolic and spherical metrics. The proofs, all of which ... arti dianalogikanWeb1 jun. 2004 · This paper considers the prescribed zero scalar curvature and mean curvature problem on the n -dimensional Euclidean ball for n ⩾3. We consider the limits … banda eraWebIn 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 … arti di anulirWeb4 apr. 2024 · Abstract. In this paper, we study the existence of conformal metrics with constant holomorphic d-scalar curvature and the prescribed holomorphic d-scalar curvature problem on closed, connected almost Hermitian manifolds of dimension n ⩾ 6. In addition, we obtain an application and a variational formula for the associated conformal … arti diam itu emasWebGromov M., Metric inequalities with scalar curvature, Geom. Funct. Anal.28(2024), 645-726, arXiv:1710.04655. Gromov M., Four lectures on scalar curvature, arXiv:1908.10612. Gromov M., Lawson Jr. H.B., Spin and scalar curvature in the presence of a fundamental group. I, Ann. of Math.111(1980), 209-230. arti diarsipkanWebMetric Inequalities with Scalar Curvature. Misha Gromov We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the … arti dianjurkanarti diantara