负曲率流形上Sobolev常数与Nash常数的估计

ESTIMATES OF SOBOLEV AND NASH CONSTANTS ON NEGATIVELY CURVED MANIFOLDS

给出Sobolev常数与Nash常数之间的关系式 ,进而得到负曲率流形上这 2个常数的显式估计 .

The Sobolev contant and the Nash constant are estimated by each other. As an application, explicit lower bounds of these two constants are obtained on negatively curved compact manifolds.