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Simpson filtration and oper stratum conjecture

期刊: MANUSCRIPTA MATHEMATICA, ; ()

In this paper, we prove that for the oper stratification of the de Rham moduli space M-dR(X, r), the closed oper stratum is the unique minimal stratum......

Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous 3-manifolds

期刊: MANUSCRIPTA MATHEMATICA, ; ()

Let lambda(t) be the first eigenvalue of -Delta + aR (a > 0) under the backward Ricci flow on locally homogeneous 3-manifolds, where R is the scala......

Evolving Compact Locally Convex Curves and Convex Hypersurfaces

期刊: MANUSCRIPTA MATHEMATICA, ; ()

A nonlocal curvature flowis investigated to evolve compact locally convex hypersurfaces in the Euclidean space En+1. It is shown that the flow exists ......

Remarks on area maximizing hypersurfaces over R-n\{0} and exterior domains

期刊: MANUSCRIPTA MATHEMATICA, 2020; 162 (3-4)

In this note, we provide a complete classification for the entire area maximizing hypersurfaces with an isolated singularity. We also construct an int......

Sharpp-Poincare inequalities under measure contraction property

期刊: MANUSCRIPTA MATHEMATICA, 2020; 162 (3-4)

We obtain sharp estimate onp-spectral gaps, or equivalently optimal constant inp-Poincare inequalities, for metric measure spaces satisfying measure c......

Homogeneous fibrations on log Calabi-Yau varieties

期刊: MANUSCRIPTA MATHEMATICA, 2020; 162 (3-4)

We prove a structure theorem for the Albanese maps of varieties with Q-linearly trivial log canonical divisors. Our start point is the action of a non......

A note on boundary differentiability of solutions of elliptic equations in nondivergence form

期刊: MANUSCRIPTA MATHEMATICA, 2020; 162 (3-4)

Boundary differentiability of solution of elliptic equation is shown while the boundary satisfies the exterior Reifenberg C-1,C- Dini condition and is......

The rigidity on the second fundamental form of projective manifolds

期刊: MANUSCRIPTA MATHEMATICA, 2020; 163 (1-2)

LetMbe a complexn-dimensional projective manifold inPn+r\documentclass endowed with the Fubini-Study metric of constant holomorphic sectional curvatur......

The Morse criticality revisited and some new applications to the Morse-Sard theorem

期刊: MANUSCRIPTA MATHEMATICA, 2020; 161 (3-4)

Given a C-r function Inspired by a recent result due to Moreira and Ruas (Manuscr Math 129:401-408, 2009), we show that for any x. U, there exists a d......

Submanifolds with parallel Gaussian mean curvature vector in Euclidean spaces

期刊: MANUSCRIPTA MATHEMATICA, 2020; 161 (3-4)

In the present paper, we prove a rigidity theorem for complete submanifolds with parallel Gaussian mean curvature vector in the Euclidean space Rn+p u......

A Liouville theorem for infinity harmonic functions

期刊: MANUSCRIPTA MATHEMATICA, 2020; 161 (3-4)

We proved that a Lipschitz entire infinity harmonic function on Rn must asymptotically tend to a plane at infinity and it must be a plane provided the......

Localized elliptic gradient estimate for solutions of the heat equation on RCD* (K,N) metric measure spaces

期刊: MANUSCRIPTA MATHEMATICA, 2020; 161 (3-4)

In this paper, we will establish a localized elliptic gradient estimate for weak solutions of the heat equation on metric measure spaces with generali......

Affine vector fields on Finsler manifolds

期刊: MANUSCRIPTA MATHEMATICA, 2020; 161 (3-4)

We give characterizations of affine transformations and affine vector fields in terms of the spray. By utilizing the Jacobi type equation that charact......

Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation

期刊: MANUSCRIPTA MATHEMATICA, 2019; 158 (1-2)

We study the multiplicity of concentrating solutions to the nonlinear fractional Kirchhoff equation (e 2sa + e 4s- 3b R3 |(-) s2 u| 2dx (-) su + V( x)......

JIF:0.55

Mean curvature flow of graphs with Neumann boundary conditions

期刊: MANUSCRIPTA MATHEMATICA, 2019; 158 (1-2)

In this paper, we study the mean curvature flow of graphs with Neumann boundary conditions. The main aim is to use the maximum principle to get the bo......

JIF:0.55

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