Zobrazeno 1 - 10
of 383
pro vyhledávání: '"Wang, Jinmin"'
Autor:
Wang, Jinmin, Zhu, Bo
We prove a sharp upper bound for the bottom spectrum of Laplacian on geometrically contractible manifolds with scalar curvature lower bound, and characterize the distribution of scalar curvature when equality holds. Moreover, we prove a scalar curvat
Externí odkaz:
http://arxiv.org/abs/2408.08245
Autor:
Wang, Jinmin, Xie, Zhizhang
We prove the scalar curvature rigidity for $L^\infty$ metrics on $\mathbb S^n\backslash\Sigma$, where $\mathbb S^n$ is the $n$-dimensional sphere with $n\geq 3$ and $\Sigma$ is a closed subset of $\mathbb S^n$ of codimension at least $\frac{n}{2}+1$
Externí odkaz:
http://arxiv.org/abs/2407.21312
Let $(M,g)$ be a closed connected oriented (possibly non-spin) smooth four-dimensional manifold with scalar curvature bounded below by $n(n-1)$. In this paper, we prove that if $f$ is a smooth map of non-zero degree from $(M, g)$ to the unit four-sph
Externí odkaz:
http://arxiv.org/abs/2402.12633
We prove a quantitative upper bound on the filling radius of complete, spin manifolds with uniformly positive scalar curvature using the quantitative operator $K$-theory and index theory.
Comment: minor revision
Comment: minor revision
Externí odkaz:
http://arxiv.org/abs/2311.15347
Autor:
Wang, Jinmin, Xie, Zhizhang
In this paper we prove the scalar curvature extremality and rigidity for a class of warped product spaces that are possibly degenerate at the two ends. The leaves of these warped product spaces can be any closed Riemannian manifolds with nonnegative
Externí odkaz:
http://arxiv.org/abs/2306.05413
Autor:
Wang, Jinmin, Xie, Zhizhang
In this paper, we prove a dihedral extremality and rigidity theorem for a large class of codimension zero submanifolds with polyhedral boundary in warped product manifolds. We remark that the spaces considered in this paper are not necessarily warped
Externí odkaz:
http://arxiv.org/abs/2303.13492
We investigate how the positive scalar curvature controls the size of a Ricci limit space when it comes from a sequence of $n$-manifolds with non-negative Ricci curvature and strictly positive scalar curvature lower bound. We prove such a limit space
Externí odkaz:
http://arxiv.org/abs/2212.10416
Autor:
Wang, Jinmin, Xie, Zhizhang
In this paper, we prove a rigidity theorem for smooth strictly convex domains in Euclidean spaces.
Comment: 7 pages. merged with arXiv:2203.09511
Comment: 7 pages. merged with arXiv:2203.09511
Externí odkaz:
http://arxiv.org/abs/2207.05731
In this paper, we study $l^1$-higher index theory and its pairing with cyclic cohomology for both closed manifolds and compact manifolds with boundary. We first give a sufficient geometric condition for the vanishing of the $l^1$-higher indices of Di
Externí odkaz:
http://arxiv.org/abs/2206.09913