Every Sub-Riemannian Manifold Is the Gromov-Hausdorff Limit of a Sequence Riemannian Manifolds

被引：0

作者：

Huang, Yong Hong ^{[1
,2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Qiannan Presch Educ Coll Nationalities, Qiannan 558000, Guizhou, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 11期

关键词：

Riemannian manifold; Sub-Riemannian manifold; Gromov-Hausdorff convergence;

D O I：

10.1007/s10114-017-4543-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will show that every sub-Riemannian manifold is the Gromov-Hausdorff limit of a sequence of Riemannian manifolds.

引用

页码：1565 / 1568

页数：4

共 50 条

[1] Every Sub-Riemannian Manifold Is the Gromov–Hausdorff Limit of a Sequence Riemannian Manifolds
Yong Hong HUANG
[J]. Acta Mathematica Sinica,English Series, 2017, (11) : 1565 - 1568
[2] Every sub-Riemannian manifold is the Gromov–Hausdorff limit of a sequence Riemannian manifolds
Yong Hong Huang
[J]. Acta Mathematica Sinica, English Series, 2017, 33 : 1565 - 1568
[3] Every Sub-Riemannian Manifold Is the Gromov–Hausdorff Limit of a Sequence Riemannian Manifolds
Yong Hong HUANG
[J]. Acta Mathematica Sinica, 2017, 33 (11) - 1568
[4] From Lp bounds to Gromov-Hausdorff convergence of Riemannian manifolds
Allen, Brian
[J]. GEOMETRIAE DEDICATA, 2024, 218 (02)
[5] The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis
Antonelli, Gioacchino
Fogagnolo, Mattia
Pozzetta, Marco
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024, 26 (01)
[6] Hausdorff volume in non equiregular sub-Riemannian manifolds
Ghezzi, R.
Jean, F.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 126 : 345 - 377
[7] On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds
Tan, KH
Yang, XP
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 70 (02) : 177 - 198
[8] Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
Ghezzi, Roberta
Jean, Frederic
[J]. GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY, 2014, 4 : 201 - 218
[9] Anderson-Cheeger limits of smooth Riemannian manifolds, and other Gromov-Hausdorff limits
Taylor, Michael
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2007, 17 (02) : 365 - 374
[10] Holonomy of sub-Riemannian manifolds
Falbel, E
Gorodski, C
Rumin, M
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 1997, 8 (03) : 317 - 344

← 1 2 3 4 5 →