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Notes on the Jacobi equation

Authors
Journal
Differential Geometry and its Applications
0926-2245
Publisher
Elsevier
Publication Date
Volume
27
Issue
2
Identifiers
DOI: 10.1016/j.difgeo.2008.10.012
Keywords
  • Jacobi Fields
  • Conjugate Points
  • Focal Points
  • Index
Disciplines
  • Mathematics

Abstract

Abstract We discuss some properties of Jacobi fields that do not involve assumptions on the curvature endomorphism. We compare indices of different spaces of Jacobi fields and give some applications to Riemannian geometry.

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