Local Convexity on Smooth Manifolds

被引：0

作者：

T. Rapcsák

机构：

[1] Hungarian Academy of Sciences,Professor, Computer and Automation Research Institute

来源：

Journal of Optimization Theory and Applications | 2005年 / 127卷

关键词：

Smooth manifolds; space of paths; linear connections; local convexity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Some properties of the spaces of paths are studied in order to define and characterize the local convexity of sets belonging to smooth manifolds and the local convexity of functions defined on local convex sets of smooth manifolds.

引用

页码：165 / 176

页数：11

共 50 条

[1] Local convexity on smooth manifolds
Rapcsák, T
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (01) : 165 - 176
[2] LOCAL AND GLOBAL CONVEXITY IN COMPLETE RIEMANNIAN MANIFOLDS
ALEXANDER, S
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1978, 76 (02) : 283 - 289
[3] Local midpoints on smooth manifolds
Kim, Sejong
Lawson, Jimmie
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2015, 39 : 129 - 146
[4] Compensated convexity and Hausdorff stable extraction of intersections for smooth manifolds
Zhang, Kewei
Orlando, Antonio
Crooks, Elaine
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (05): : 839 - 873
[5] Local convexity of renormalized volume for rank-1 cusped manifolds
Pallete, Franco Vargas
[J]. MATHEMATICAL RESEARCH LETTERS, 2019, 26 (03) : 903 - 919
[6] CONVEXITY IN RIEMANNIAN MANIFOLDS
TRIBUZY, I
[J]. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1978, 50 (03): : 269 - 271
[7] Convexity of Hamiltonian manifolds
Knop, F
[J]. JOURNAL OF LIE THEORY, 2002, 12 (02) : 571 - 582
[8] Computation of non-smooth local centre manifolds
Jolly, MS
Rosa, R
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2005, 25 (04) : 698 - 725
[9] Smooth manifolds over local algebras and Weil bundles
Shurygin V.V.
[J]. Journal of Mathematical Sciences, 2002, 108 (2) : 249 - 294
[10] LOCAL CLASSIFICATION OF QUOTIENTS OF SMOOTH MANIFOLDS BY DISCONTINUOUS GROUPS
STRUB, R
[J]. MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (01) : 43 - 57

← 1 2 3 4 5 →