On Ricci curvatures of hypersurfaces in abstract Wiener spaces

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Abstract

Several concrete examples of hypersurfaces, i.e., submanifolds of codimension 1, in abstract Wiener space will be given to study how the signs of their Ricci curvatures varies. As a result, it will be concluded that the Ricci curvature is no longer a geometrical object in contrast with the curvatures of finite dimensional manifolds.

Original languageEnglish
Pages (from-to)226-244
Number of pages19
JournalJournal of Functional Analysis
Volume136
Issue number1
DOIs
Publication statusPublished - Feb 25 1996

All Science Journal Classification (ASJC) codes

  • Analysis

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