Asymptotically hyperbolic non-constant mean curvature solutions of the Einstein constraint equations

被引：12

作者：

Isenberg, J ^{[1
]}

Park, J

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Univ Oregon, Inst Theoret Sci, Eugene, OR 97403 USA

[3] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14473 Potsdam, Germany

来源：

CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 1A期

关键词：

D O I：

10.1088/0264-9381/14/1A/016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of large sets of non-constant mean curvature solutions of the Einstein constraints on closed manifolds can be adapted to verify the existence of large sets of asymptotically hyperbolic non-constant mean curvature solutions of the Einstein constraints.

引用

页码：A189 / A201

页数：13

共 50 条

[31] NON-CONSTANT QUASI-HYPERBOLIC DISCOUNTING
Peng, Ling
Hager, William W.
[J]. ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, 2017, 51 (02): : 145 - 164
[32] A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov
José A. Gálvez
Pablo Mira
[J]. Mathematische Annalen, 2016, 366 : 909 - 928
[33] HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A HYPERBOLIC SPACE
Su Bianping
Shu Shichang
Han, Yi Annie
[J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) : 1091 - 1102
[34] HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A HYPERBOLIC SPACE
苏变萍
舒世昌
Yi Annie Han
[J]. Acta Mathematica Scientia, 2011, 31 (03) : 1091 - 1102
[35] Hypersurfaces with constant mean curvature of hyperbolic space
Polombo, A
[J]. OSAKA JOURNAL OF MATHEMATICS, 1997, 34 (03) : 579 - 588
[36] Graphs of constant mean curvature in hyperbolic space
López, R
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2001, 20 (01) : 59 - 75
[37] On surfaces with constant mean curvature in hyperbolic space
De Lima, RF
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 2003, 47 (04) : 1079 - 1098
[38] Graphs of Constant Mean Curvature in Hyperbolic Space
Rafael López
[J]. Annals of Global Analysis and Geometry, 2001, 20 : 59 - 75
[39] Einstein's equations with asymptotically stable constraint propagation
Brodbeck, O
Frittelli, S
Reula, OA
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (02) : 909 - 923
[40] A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov
Galvez, Jose A.
Mira, Pablo
[J]. MATHEMATISCHE ANNALEN, 2016, 366 (3-4) : 909 - 928

← 1 2 3 4 5 →