Riemannian Metrics

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter VII in Differential Manifolds, 1985, pp 151-169 from Springer

Abstract: Abstract In our discussion of vector bundles, we put no greater structure on the fibers than that of topological vector space (of the same category as those used to build up manifolds). One can strengthen the notion so as to include the metric structure, and we are thus led to consider Hilbert bundles, whose fibers are Hilbert spaces.

Keywords: Hilbert Space; Vector Bundle; Tangent Bundle; Topological Vector Space; Symmetric Operator (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4684-0265-0_7

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