التفاصيل البيبلوغرافية
| 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: |
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