Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications

Bing-Ye Wu. "Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications." Annales Polonici Mathematici 112.3 (2014): 267-286. <http://eudml.org/doc/280967>.

@article{Bing2014,
abstract = {We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.},
author = {Bing-Ye Wu},
journal = {Annales Polonici Mathematici},
keywords = {Finsler manifold; flag curvature; T-curvature; focal point; injectivity radius},
language = {eng},
number = {3},
pages = {267-286},
title = {Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications},
url = {http://eudml.org/doc/280967},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Bing-Ye Wu
TI - Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 3
SP - 267
EP - 286
AB - We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.
LA - eng
KW - Finsler manifold; flag curvature; T-curvature; focal point; injectivity radius
UR - http://eudml.org/doc/280967
ER -