Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Xianzhe Dai"'
Autor:
Chris Connell, Guofang Wei, Raquel Perales, Pablo Suárez-Serrato, Jesús Núñez-Zimbrón, Xianzhe Dai
Publikováno v:
Journal of the London Mathematical Society. 104:1615-1681
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ad9ad2d5ff6e5821d1002d5628c232c
https://doi.org/10.1112/jlms.12470
https://doi.org/10.1112/jlms.12470
Autor:
Xianzhe Dai, Yukai Sun
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
Gromov asked if the bi-invariant metrics on a compact Lie group are extremal compared to any other metrics. In this note, we prove that the bi-invariant metrics on a compact connected semi-simple Lie group $G$ are extremal (in fact rigid) in the sens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77e27ca34589d6da7916038a16b94a3d
https://doi.org/10.3842/sigma.2020.068
https://doi.org/10.3842/sigma.2020.068
Publikováno v:
Advances in Mathematics. 325:1-33
We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, the heat kernel estimate and the L 2 Hessian estimate to manifolds with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01cb387d13e3727e957423566570465f
https://doi.org/10.1016/j.aim.2017.11.024
https://doi.org/10.1016/j.aim.2017.11.024
Autor:
Xianzhe Dai, Changliang Wang
Publikováno v:
The Journal of Geometric Analysis. 28:3657-3689
In this paper, we prove that on a compact manifold with isolated conical singularity, the spectrum of the Schrodinger operator $$-4\Delta +R$$ consists of discrete eigenvalues with finite multiplicities, if the scalar curvature R satisfies a certain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2810b2c2c5a3c28177a511a8c9f0f25
https://doi.org/10.1007/s12220-017-9971-4
https://doi.org/10.1007/s12220-017-9971-4
Autor:
Xianzhe Dai, Junrong Yan
Motivated by the Landau–Ginzburg model, we study the Witten deformation on a noncompact manifold with bounded geometry, together with some tameness condition on the growth of the Morse function f near infinity. We prove that the cohomology of the W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef6c167c4327fec3a90db999dce246ca
Autor:
Jianqing Yu, Xianzhe Dai
Publikováno v:
Mathematische Zeitschrift. 285:1269-1282
In this paper, we establish an equality between the analytic torsion introduced by Dar (Math Z 194(2): 193–216, 1987) and the orbifold analytic torsion defined by Ma (Trans Am Math Soc 357(6): 2205–2233, 2005) on an even dimensional manifold with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c68c592990429d35bbe23c645dc08d14
https://doi.org/10.1007/s00209-016-1747-1
https://doi.org/10.1007/s00209-016-1747-1
In [SWW16, HW17] it is shown that the difference of the first two eigenvalues of the Laplacian with Dirichlet boundary condition on convex domain with diameter $D$ of sphere $\mathbb S^n$ is $\geq 3 \frac{\pi^2}{D^2}$ when $n \geq 3$. We prove the sa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49b4c834264adf3e71d403da4772d21a
http://arxiv.org/abs/1803.01115
http://arxiv.org/abs/1803.01115
Autor:
Weiping Zhang, Xianzhe Dai
Publikováno v:
Advances in Mathematics. 279:291-306
In previous work, we introduced eta invariants for even dimensional manifolds. It plays the same role as the eta invariant of Atiyah–Patodi–Singer, which is for odd dimensional manifolds. It is associated to K 1 representatives on even dimensiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::836c7cf15842c7c8422e74ba597368ac
https://doi.org/10.1016/j.aim.2015.04.002
https://doi.org/10.1016/j.aim.2015.04.002
Autor:
Xianzhe Dai1,2 dai@math.ucsb.edu, Li Ma3 lma@math.tsinghua.edu.cn
Publikováno v:
Communications in Mathematical Physics. Aug2007, Vol. 274 Issue 1, p65-80. 16p.
Autor:
Xianzhe Dai1 dai@math.ucsb.edu, Xiaodong Wang2 xwang@math.mit.edu, Guofang Wei1 wei@math.ucsb.edu
Publikováno v:
Inventiones Mathematicae. Jul2005, Vol. 161 Issue 1, p151-176. 26p.