✦ LIBER ✦

A focal index theorem for null geodesics

✍ Scribed by Paul E. Ehrlich; Seon-Bu Kim

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 671 KB
Volume: 6
Category: Article
ISSN: 0393-0440
DOI: 10.1016/0393-0440(89)90031-4

No coin nor oath required. For personal study only.

✦ Synopsis

Employing techniques recently developed by D. Kaiish for Riemannian manifolds, we obtaina focal Morseindex theorem bra null geodesic segmentinitially and terminallyperpendicular to space/ike submanifolds ofarbitrary codimension in a general space-time.

SECTION 1: INTRODUCTION

Let $ : [0, 1] -~(M, g) be a null geodesic segment in an arbitrary space-time of dimension n ~3 and let K 1, K2 be spacelike submanifolds perpendicular to /3 at f3( 0) and ~3(1), respectively. The purpose of this paper is to extend the conjugate

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