A focal index theorem for null geodesics
type: Item
instance of: scholarly article
title: A focal index theorem for null geodesics
zbMATH Open document ID: 0709.53044
DOI: 10.1016/0393-0440(89)90031-4
author: Paul E. Ehrlich
author: seon-bu Kim
published in: Journal of Geometry and Physics
publication date: 1989-01-01T00:00:00Z
review text: The authors use the recent approach of \textit{D. Kalish} [Trans. Am. Math. Soc. 308, No.1, 341-348 (1988; Zbl 0652.58016)] to obtain a focal Morse index theorem for a null geodesic initially and terminally perpendicular to space-like submanifolds of arbitrary co-dimension in a general space- time.
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 4165947
zbMATH Keywords: focal Morse index theorem
zbMATH Keywords: null geodesic
zbMATH Keywords: space-like submanifolds
zbMATH Keywords: space- time
reviewed by: Krishan Lal Duggal
MaRDI profile type: Publication
full work available at URL: 0393-0440(89)90031-4
OpenAlex ID: W2008535458
cites work: Q3288631
cites work: The index theorem in Riemannian geometry
cites work: A Morse index theorem for null geodesics
cites work: Q3913406
cites work: Q5341449
cites work: The Morse index theorem in the case of two variable end-points
cites work: The Large Scale Structure of Space-Time
cites work: The Morse Index Theorem where the Ends are Submanifolds
cites work: Extension of the Rauch Comparison Theorem to Submanifolds
cites work: The Conjugate Locus of a Riemannian Manifold
description: scientific article; zbMATH DE number 4165947