THE CONFORMAL YAMABE CONSTANT OF PRODUCT MANIFOLDS

Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2013) THE CONFORMAL YAMABE CONSTANT OF PRODUCT MANIFOLDS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141 (1): PII S 0002. pp. 295-307. ISSN 0002-9939, 1088-6826

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Abstract

Let (V, g) and (W, h) be compact Riemannian manifolds of dimension at least 3. We derive a lower bound for the conformal Yamabe constant of the product manifold (V x W, g + h) in terms of the conformal Yamabe constants of (V, g) and (W, h).

Item Type: Article
Uncontrolled Keywords: ; Yamabe constant; Yamabe invariant; product manifolds
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Bernd Ammann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Apr 2020 04:32
Last Modified: 29 Apr 2020 04:32
URI: https://pred.uni-regensburg.de/id/eprint/17349

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