Morse theory for min-type functions
type: Item
instance of: scholarly article
title: Morse theory for min-type functions
zbMATH Open document ID: 0921.58006
author: S. H. Smith
published in: The Asian Journal of Mathematics
publication date: 1999-09-26T00:00:00Z
review text: In [\textit{M. Gromov}, Comment. Math. Helv. 56, 179-195 (1981; Zbl 0467.53021)] it is shown that the Morse theory for Riemannian distance functions can be developed by analogy with the classical Morse theory. The aim of this article is to construct a Morse theory for functions which are minima of finite families of smooth functions and clarify the connection with Riemannian distance functions for non-positively curved manifolds. Relations with the Grove-Shiohama-Gromov approach [\textit{K. Grove}, Proc. Symp. Pure Math. 54, Part 3, 357-385 (1993; Zbl 0806.53043)] are given.
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 1186648
zbMATH Keywords: Riemannian distance functions
zbMATH Keywords: Morse theory
zbMATH Keywords: nonpositive curvature
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
DOI: 10.4310/AJM.1997.V1.N4.A3
description: scientific article; zbMATH DE number 1186648