Accession Number:

ADA034482

Title:

The Hopf-Rinow Theorem in Infinite Dimension.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-10-01

Pagination or Media Count:

28.0

Abstract:

In this paper, the following theorem is proven. Let M be a complete, possibly infinite-dimensional, Riemannian manifold. Take any point q in M. Then the set of points p epsilon M which can be joined to q by a unique minimal geodesic contains a countable intersection of open dense subsets.

Subject Categories:

  • Geodesy
  • Theoretical Mathematics
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE