THE LI-YAU-HAMILTON INEQUALITY FOR YAMABE FLOW ON A CLOSED CR 3-MANIFOLD

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51156

Title:	THE LI-YAU-HAMILTON INEQUALITY FOR YAMABE FLOW ON A CLOSED CR 3-MANIFOLD
Authors:	Chang,SC;Chiu,HL;Wu,CT
Contributors:	數學系
Keywords:	CONFORMALLY FLAT MANIFOLDS;SCALAR CURVATURE;INTEGRAL BOUNDS;CONVERGENCE;COMPACTNESS
Date:	2010
Issue Date:	2012-03-27 18:23:30 (UTC+8)
Publisher:	國立中央大學
Abstract:	We deform the contact form by the (normalized) CR Yamabe flow on a closed spherical CR 3-manifold. We show that if a contact form evolves with positive Tanaka-Webster curvature and vanishing torsion from initial data, then we obtain a new Li-Yau-Hamilton inequality for the CR Yamabe flow. By combining this parabolic subgradient estimate with a compactness theorem of a sequence of contact forms, it follows that the CR Yamabe flow exists for all time and converges smoothly to, up to the CR automorphism, a unique limit contact form of positive constant Webster scalar curvature on a closed CR. 3-manifold, which is CR equivalent to the standard CR 3-sphere with positive Tanaka-Webster curvature and vanishing torsion.
Relation:	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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