A Note on the Yamabe Problem

A Note on the Yamabe Problem

Year:    2005

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 322–326

Abstract

In this note we verify the key inequality Y_1(M) < Y_1(S^n) for the Yamabe constant Y_1(M) for manifolds M not conformal to the unit sphere, by using a solution to an associated equation as a test function.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JPDE-5367

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 322–326

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    Convex hypersurface