A Note on Complete Smooth Metric Measure Spaces with Nonnegative Curvature

Thesis

Dai, Feng-Chih

Masters, 國立清華大學, 數學系所

2017

Abstract

光滑賦距測度空間

巴克里-埃默瑞里奇曲率

加權拉普拉斯算子

最低頻譜

分裂定理

加權調和函數

梯度估計

維度估計

Smooth metric measure space

Bakry-Émery Ricci curvature

f-Laplacian

Bottom spectrum

Splitting theorem

f-Harmonic function

Gradient estimate

Dimension estimate

abstract hide

1 Record Views

Title: A Note on Complete Smooth Metric Measure Spaces with Nonnegative Curvature
Translated title: A Note on Complete Smooth Metric Measure Spaces with Nonnegative Curvature
Creators: Dai, Feng-Chih
Contributors: Sung, Chiung-Jue (Advisor)
Awarding Institution: 國立清華大學, 數學系所; Masters
Theses and Dissertations: Masters, 國立清華大學, 數學系所
Language: English
Resource Type: Thesis
Date published: 2018