Abstract. In this paper we study the local and global properties of a complete Hilbert manifold, proving results of finite dimensional Riemannian geometry in the context of Hilbert manifolds.
AMS Subject Classification
(1991): 58B20, 53C21
Keyword(s):
Riemannian geometry,
Hilbert manifold,
exponential map,
sectional curvature
Received January 31, 2005, and in revised form September 23, 2005. (Registered under 5927/2009.)
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