VANISHING THEOREMS FOR ACH K(A)HLER MANIFOLDS AND HARMONIC MAPS |
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| Authors: | Xiaoli Chao Ranran Chen |
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| Affiliation: | Southeast University, China |
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| Abstract: | We discuss a class of complete Kaler manifolds which are asymptotically complex hyperbolic near infinity. The main result is vanishing theorems for the second L2 cohomology of such manifolds when it has positive spectrum. We also generalize the result the weighted function p is of sub-quadratic growth of the distance function. We also obtain inequality. |
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| Keywords: | ACH Kahler manifold bisectional curvature harmonic map |
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