Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane

被引：0

作者：

Brendle, Simon

机构：

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2008年 / 80卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a complete, simply-connected surface of constant curvature k <= 0. Moreover, suppose that Omega and (Omega) over tilde are strictly convex domains in N with the same area. we show that there exists an area-preserving diffeomorphism from Omega to (Omega) over tilde whose graph is a minimal submanifold of N x N.

引用

页码：1 / 22

页数：22

共 50 条

[1] HARMONIC DIFFEOMORPHISMS OF THE HYPERBOLIC PLANE
AKUTAGAWA, K
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 342 (01) : 325 - 342
[2] RIGIDITY OF MINIMAL LAGRANGIAN DIFFEOMORPHISMS BETWEEN SPHERICAL CONE SURFACES
El Emam, Christian
Seppi, Andrea
JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2022, 9 : 581 - 600
[3] CONSTRUCTING DIFFEOMORPHISMS BETWEEN SIMPLY CONNECTED PLANE DOMAINS
Atkinson K.
Chien D.
Hansen O.
Electronic Transactions on Numerical Analysis, 2022, 55 : 671 - 686
[4] Partially hyperbolic diffeomorphisms and Lagrangian contact structures
Mion-Mouton, Martin
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (08) : 2583 - 2629
[5] On m-Minimal Partially Hyperbolic Diffeomorphisms
Alexander Arbieto
Thiago Catalan
Felipe Nobili
Journal of Dynamics and Differential Equations, 2023, 35 : 1083 - 1097
[6] On m-Minimal Partially Hyperbolic Diffeomorphisms
Arbieto, Alexander
Catalan, Thiago
Nobili, Felipe
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (02) : 1083 - 1097
[7] Existence of energy-minimal diffeomorphisms between doubly connected domains
Iwaniec, Tadeusz
Koh, Ngin-Tee
Kovalev, Leonid V.
Onninen, Jani
INVENTIONES MATHEMATICAE, 2011, 186 (03) : 667 - 707
[8] Existence of energy-minimal diffeomorphisms between doubly connected domains
Tadeusz Iwaniec
Ngin-Tee Koh
Leonid V. Kovalev
Jani Onninen
Inventiones mathematicae, 2011, 186 : 667 - 707
[9] Minimal Lagrangian diffeomorphisms and the Monge-Ampere equation
Wolfson, JG
JOURNAL OF DIFFERENTIAL GEOMETRY, 1997, 46 (02) : 335 - 373
[10] CONSTRUCTING DIFFEOMORPHISMS BETWEEN SIMPLY CONNECTED PLANE DOMAINS-PART 2
Atkinson, Kendall
Chien, David
Hansen, Olaf
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2024, 60 : 351 - 363

← 1 2 3 4 5 →