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Chapter 5 Geodesics and Jacobi Fields

Part of the Universitext book series (UTX)

Abstract

We start with a preliminary technical remark.

Let M be a d-dimensional Riemannian manifold with Levi-Civita connection ∇. Let H be a differentiable manifold, and let f : HM be smooth.

Keywords

  • Riemannian Manifold
  • Sectional Curvature
  • Homotopy Class
  • Jacobi Equation
  • Nonpositive Curvature

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  • DOI: 10.1007/978-3-642-21298-7_5
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Correspondence to Jürgen Jost .

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© 2011 Springer-Verlag Berlin Heidelberg

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Jost, J. (2011). Chapter 5 Geodesics and Jacobi Fields. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21298-7_5

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