WEAK FUBINI PROPERTY AND INFINITY HARMONIC FUNCTIONS IN RIEMANNIAN AND SUB-RIEMANNIAN MANIFOLDS

被引：0

作者：

Dragoni, Federica ^{[1
]}

Manfredi, Juan J. ^{[2
]}

Vittone, Davide ^{[3
]}

机构：

[1] Cardiff Univ, Sch Math, Cardiff, Wales

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 02期

关键词：

Absolutely minimizing Lipschitz extension; infinity Laplace equation; Riemannian manifolds; Carnot-Caratheodory spaces; LIPSCHITZ EXTENSIONS; ABSOLUTE MINIMIZERS; ARONSSON EQUATION; VECTOR-FIELDS; SPACES; LAPLACIAN; DISTANCE; SETS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the relationship between infinity harmonic functions, absolutely minimizing Lipschitz extensions, strong absolutely minimizing Lipschitz extensions, and absolutely gradient minimizing extensions in Carnot-Caratheodory spaces. Using the weak Fubini property we show that absolutely minimizing Lipschitz extensions are infinity harmonic in any sub-Riemannian manifold.

引用

页码：837 / 859

页数：23

共 26 条

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