On Ricci curvatures of hypersurfaces in abstract Wiener spaces

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

Fingerprint

Abstract Wiener Space
Ricci Curvature
Hypersurface
Submanifolds
Codimension
Curvature
Vary
Object

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

On Ricci curvatures of hypersurfaces in abstract Wiener spaces. / Taniguchi, Setsuo.

In: Journal of Functional Analysis, Vol. 136, No. 1, 25.02.1996, p. 226-244.

Research output: Contribution to journalArticle

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