8 citations · 27 across the 18 of their papers we have counts for
19 papers
Uniform positive scalar curvature from supercritical quadratic decay
Zhehui Wang, Jintian Zhu
Let be a complete connected noncompact smooth Riemannian manifold without boundary, with and positive scalar curvature. We prove that admits a complete smooth…
The metric extension problem under positive and negative curvature conditions
Wenlong Wang, Jintian Zhu
We first prove that every smooth boundary metric on a compact manifold extends to a metric with any prescribed positive lower bound for Ricci curvature, whereas extensions under st…
Quadratic Scalar Curvature Decay and Uniform Positivity in Dimensions Four through Seven
Zhehui Wang, Jintian Zhu
Let and let be a complete, connected, orientable, noncompact Riemannian manifold of positive scalar curvature. We prove that if the asymptotic quadratic scal…
A non-spin method to the positive weighted mass theorem for weighted manifolds
Jianchun Chu, Jintian Zhu
In this paper, we investigate the weighted mass for weighted manifolds. By establishing a version of density theorem and generalizing Geroch conjecture in the setting of -scalar…
Riemannian Penrose inequality without horizon in dimension three
Jintian Zhu
Based on the -bubble method we are able to prove the following version of Riemannian Penrose inequality without horizon: if is a complete metric on $\mathbb R^3\setminus\{O\…
Singular positive mass theorem with arbitrary ends
Jianchun Chu, Man-Chun Lee, Jintian Zhu
Motivated by the recent progress on positive mass theorem for asymptotically flat manifolds with arbitrary ends and the Gromov's definition of scalar curvature lower bound for cont…
The Gauss-Bonnet inequality beyond aspherical conjecture
Jintian Zhu
Up to dimension five, we can prove that given any closed Riemannian manifold with nonnegative scalar curvature, of which the universal covering has vanishing homology group f…
Positive mass theorem with arbitrary ends and its application
Jintian Zhu
In this article, we give a proof for positive mass theorem of asymptotically flat manifolds with arbitrary ends when the dimension is no greater than seven. As an application, we a…
Stability of Bernstein type theorem for the minimal surface equation
Guosheng Jiang, Zhehui Wang, Jintian Zhu
Let be an unbounded convex domain. We study the minimal surface equation in with boundary value given by the sum of a linear function and…
Incompressible hypersurface, positive scalar curvature and positive mass theorem
Jie Chen, Peng Liu, Yuguang Shi +1
In this paper, we prove for that if a differentiable -manifold contains a relatively incompressible essential hypersurface in some class , then it ad…
Area and Gauss-Bonnet inequalities with scalar curvature
Misha Gromov, Jintian Zhu
Let be an -dimensional Riemannian manifold with "large positive" scalar curvature. In this paper, we prove in a variety of cases that if "spreads" in directions…
Positive mass theorems of ALF and ALG manifolds
Peng Liu, Yuguang Shi, Jintian Zhu
In this paper, we want to prove positive mass theorems for ALF and ALG manifolds with model spaces and respe…
Rigidity results for complete manifolds with nonnegative scalar curvature
Jintian Zhu
In this paper, we are going to show some rigidity results for complete open Riemannian manifolds with nonnegative scalar curvature. Without using the famous Cheeger-Gromoll splitti…
Width estimate and doubly warped product
Jintian Zhu
In this paper, we give an affirmative answer to Gromov's conjecture ([3, Conjecture E]) by establishing an optimal Lipschitz lower bound for a class of smooth functions on orientab…
Liouville Type Theorems for Minimal Surface Equations in Half Space
Guosheng Jiang, Zhehui Wang, Jintian Zhu
For we obtain Liouville type theorems for minimal surface equations in half space with affine Dirichlet boundary value or constant Neumann boundary value.
On the Fill-in of Nonnegative Scalar Curvature Metrics
Yuguang Shi, Wenlong Wang, Guodong Wei +1
In the first part of this paper, we consider the problem of fill-in of nonnegative scalar curvature (NNSC) metrics for a triple of Bartnik data . We prove that given a met…
Rigidity of Area-Minimizing -Spheres in -Manifolds with Positive Scalar Curvature
Jintian Zhu
We prove that the least area of the non-contractible immersed spheres is no more than in any oriented compact manifold with dimension which satisfies and…
Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension
Yuguang Shi, Jintian Zhu
By making use of the nice behavior of Hawking masses of slices of a weak solution of inverse mean curvature flow in three dimensional asymptotically hyperbolic manifolds, we are ab…
Characterization of large isoperimetric regions in asymptotically hyperbolic initial data
Otis Chodosh, Michael Eichmair, Yuguang Shi +1
Let be a complete Riemannian -manifold asymptotic to Schwarzschild-anti-deSitter and with scalar curvature . Building on work of A.~Neves and G.~Tian and of…