Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 2
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- Pages.455-468
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
ROUGH ISOMETRY AND HARNACK INEQUALITY
- Park, Hyeong-In (Department of Mathematics Seoul National University ) ;
- Lee, Yong-Hah (Department of Mathematics Seoul National University )
- Published : 1996.05.01
Abstract
Certain analytic behavior of geometric objects defined on a Riemannian manifold depends on some very crude properties of the manifold. Some of those crude invariants are the volume growth rate, isoperimetric constants, and the likes. However, these crude invariants sometimes exercise surprising control over the analytic behavior.