دورية أكاديمية
Vanishing Theorems for Conformally Compact Manifolds.
| العنوان: | Vanishing Theorems for Conformally Compact Manifolds. |
|---|---|
| المؤلفون: | Wan, Tom Y. H.1 tomwan@math.cuhk.edu.hk, Xin, Y. L.2 |
| المصدر: | Communications in Partial Differential Equations. Jul/Aug2004, Vol. 29 Issue 7/8, p1267-1279. 13p. |
| مصطلحات موضوعية: | *VANISHING theorems, *COMPLEX manifolds, *MANIFOLDS (Mathematics), *HARMONIC functions, *PARTIAL differential equations, *MATHEMATICS |
| مستخلص: | We study L2 harmonic p-forms on conformally compact manifolds with a rather weak boundary regularity assumption. We proved that if the lower bound of the curvature operator is great than or equal to−1 and the infimum of the L2 spectrum of the Laplacian great than p(n − p) for some p ≤ n/2, then there is no nontrivial L2 harmonic p-form. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: | Academic Search Index |
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1 |
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asx Academic Search Index 14806998 1202 6 Academic Journal academicJournal 1202.06176757813 |
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