Coulomb Systems on Riemannian Manifolds and Stability of Matter

被引：0
|
作者：
Alberto Enciso
机构：
[1] Instituto de Ciencias Matemáticas (CSIC-UAM-UCM-UC3M),
[2] Consejo Superior de Investigaciones Cientí ficas,undefined
来源：
Annales Henri Poincaré | 2011年 / 12卷
关键词：
Manifold; Riemannian Manifold; Heat Kernel; Essential Spectrum; Complete Riemannian Manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We analyze the spectrum of many-body Coulomb Hamiltonians in the setting of open Riemannian manifolds, proving stability of matter in any complete noncompact Riemannian three-manifold of nonnegative Ricci curvature and Euclidean volume growth.
引用
收藏
页码：723 / 741
页数：18
相关论文
共 50 条
  • [31] Logarithmic gradient of the heat kernel on Riemannian manifolds
    Bondarenko, VG
    MATHEMATICAL NOTES, 2003, 74 (3-4) : 445 - 449
  • [32] On some Liouville theorems on noncompact Riemannian manifolds
    A. G. Losev
    Siberian Mathematical Journal, 1998, 39 : 74 - 80
  • [33] STABILITY OF THE CUT LOCUS AND A CENTRAL LIMIT THEOREM FOR FRECHET MEANS OF RIEMANNIAN MANIFOLDS
    Eltzner, Benjamin
    Galaz-Garcia, Fernando
    Huckemann, Stephan F.
    Tuschmann, Wilderich
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (09) : 3947 - 3963
  • [34] Schrodinger-Maxwell systems on non-compact Riemannian manifolds
    Farkas, Csaba
    Kristaly, Alexandru
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 31 : 473 - 491
  • [35] Approximation of Densities on Riemannian Manifolds
    le Brigant, Alice
    Puechmorel, Stephane
    ENTROPY, 2019, 21 (01):
  • [36] Principal Boundary on Riemannian Manifolds
    Yao, Zhigang
    Zhang, Zhenyue
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2020, 115 (531) : 1435 - 1448
  • [37] Sobolev inequality on Riemannian manifolds
    Wang, M
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2005, 26 (04) : 651 - 658
  • [38] Partial balayage on Riemannian manifolds
    Gustafsson, Bjorn
    Roos, Joakim
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 118 : 82 - 127
  • [39] On the Curve Reconstruction in Riemannian Manifolds
    Shah, Pratik
    Chatterji, Samaresh
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2013, 45 (01) : 55 - 68
  • [40] Slant helices on Riemannian manifolds
    Caliskan, Abdussamet
    Sahin, Bayram
    FILOMAT, 2024, 38 (22) : 7743 - 7754
12345