TY - JOUR
T1 - A Note on the Yamabe Problem
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 - <p>In this note we verify the key inequality Y_1(M) &lt; 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.</p>