WebSome Cheeger–Gromov–Taylor type compactness theorems via m-Bakry–Émery and m-modified Ricci curvatures. Homare Tadano. Article 112045 Download PDF. Article preview. select article Strichartz estimates for the Schrödinger equation on products of compact groups and odd-dimensional spheres. Cheeger, J., Gromov, M., Taylor, M.: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. J. Differential Geom. 17, 15–53 (1982) Article MathSciNet Google Scholar Gomes, J.N., Wang, Q., Xia, C.: On the \(h\)-almost Ricci soliton. J. … See more Consider p \in M and a minimizing unit speed geodesic \gamma : [0, \infty ) \rightarrow M with \gamma (0) = p. We divide [0,\infty ) into two parts E_{1}, E_{2}as follows. For any small positive \epsilon (< a^{2}), let … See more Assume that M is noncompact. For any p \in M, there is a minimizing unit speed geodesic \gamma (t) starting from p. Let r(x) = d(p,x) be the … See more Let M be an n-dimensional complete Riemannian manifold with Ric^{\, \mu }_{\, V}(\gamma ',\gamma ') \ge (n+k-1)H, where H \in {\mathbb {R}}. If \mu \ge \frac{1}{k}for some … See more From (3.2), we have And equality holds if and only if the radial sectional curvatures are constant. Hence, the mean curvature of the model space m^{n+k}_{H}satisfies Let sn_{H}(r)be the solution to such that sn_{H}(0) = 0 and … See more
Collapsed Riemannian manifolds with bounded sectional curvature
WebAs their applications, we obtain some optimal Cheeger–Gromov–Taylor type compact theorems, volume growth and Mckean type estimate for the first Dirichlet eigenvalue for such manifolds. Although we present the results for Finsler manifolds, they are all new results for Riemannian manifolds. WebKonjektur Maulik–Nekrasov–Okounkov–Pandharipande pada sebuah kesetaraan antara teorema Gromov–Witten and teorema Donaldson–Thomas ... (Jeff Cheeger, Aaron Naber ... Teorema modularitas (Christophe Breuil, Brian Conrad, Fred Diamond, dan Richard Taylor, 2001) Konjektur Erdős–Stewart (Florian Luca, 2001) Masalah Berry ... smith signs lawrenceburg tn
Some compactness theorems via - ScienceDirect
WebThis Cheeger-Gromov theory assumes L ∞ bounds on the full curvature tensor. For reasons discussed below, we focus mainly on the generalizations of this theory to spaces with L ∞, (or L p) bounds on the Ricci curvature. Although versions of the results described hold in any dimension, for the most part we restrict the discussion to 3 and 4 ... WebWe give a complementary generalization of the extensions of Bonnet-Myers theorem obtained by Calabi and also Cheeger-Gromov-Taylor. Publication: arXiv e-prints. Pub Date: May 2024 arXiv: arXiv:1705.04797 Bibcode: 2024arXiv170504797W Keywords: Mathematics - Differential Geometry ... WebCheeger-Colding on the structures of Gromov-Hausdor limits of manifolds with lower Ricci curvature bound. In fact Kapovitch-Wilking proved a Margulis Lemma for lower Ricci curvature bound, generalized Theorem 1.4 to collapsed case. RemarkWhen Mnhas nonnegative Ricci curvature and Euclidean volume growth riverchase galleria shoe stores