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....

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Bibliographic Details
Main Authors: Chen, Yi-Lin, 陳義麟
Other Authors: Sung, Chiung-Jue
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/01949315834612010881