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Complete non- compact Riemannian manifold of maximum principle
Author: ShaoHongLiang
Tutor: LiQingZhong
School: Capital Normal University
Course: Basic mathematics
Keywords: non-compact growth condition maximum principles Ricci flow
CLC: O186.12
Type: Master's thesis
Year: 2009
Downloads: 30
Quote: 0
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Abstract
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In this paper we discuss the maximum principles on noncompact manifolds analogues to compact case.It is important to control the growth of the curvature as the distance tends to infinity.We extend the maximum principle to the quasi-linear versions of the heat equation.Also we discuss the tensor version of the maximum principles and Weinberger-Hamilton’s maximum principles.Since the curvatures evolve as heat-type parabolic equations under Ricci flow,we discuss some applications of the maximum principles in Ricci flow at last.
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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Riemannian geometry
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