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Volume 18, Issue 4
A Note on the Yamabe Problem

Xujia Wang

J. Part. Diff. Eq., 18 (2005), pp. 322-326.

Published online: 2005-11

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  • 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.

  • Keywords

Convex hypersurface Weingarten curvature

  • AMS Subject Headings

35J60 53C45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-18-322, author = {Xujia Wang }, title = {A Note on the Yamabe Problem}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5367.html} }
TY - JOUR T1 - A Note on the Yamabe Problem AU - Xujia Wang JO - Journal of Partial Differential Equations VL - 4 SP - 322 EP - 326 PY - 2005 DA - 2005/11 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5367.html KW - Convex hypersurface KW - Weingarten curvature AB -

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.

Xujia Wang . (2005). A Note on the Yamabe Problem. Journal of Partial Differential Equations. 18 (4). 322-326. doi:
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