The Function Theory on Complete Smooth Metric Measure Spaces
碩士 === 國立清華大學 === 數學系 === 100 === In this note, we introduce the gradient estimate on smooth metric measure spaces with nonnegative Bakry-\'Emery Ricci curvature. We also apply such estimate to prove Liouville type theorem and splitting theorem in geometric partial differential equations....
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2011
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Online Access: | http://ndltd.ncl.edu.tw/handle/01949315834612010881 |