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A Jacobi Field Splitting Theorem for Positive Curvature

  • Author(s): Gumaer, Dennis
  • Advisor(s): Wilhelm, Frederick
  • et al.
Abstract

This dissertation will present two new rigidity theorems for manifolds with sectional curvature bounded below. The main new result is a new splitting theorem for Jacobi fields on manifolds with positive sectional curvature.

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