Geometry of Gradient Ricci Solitons at Infinity Sun-Chin Chu Department of Mathematics Chung Cheng...
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Geometry of Gradient Ricci Solitons at Infinity Sun-Chin Chu Department of Mathematics Chung Cheng University
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Transcript of Geometry of Gradient Ricci Solitons at Infinity Sun-Chin Chu Department of Mathematics Chung Cheng...
Geometry of Gradient Ricci Solitons at Infinity
Sun-Chin Chu
Department of Mathematics
Chung Cheng University
Outline
1. Equation and Basic
2. 2-dimensional Ricci Soliton: Cigar
3. Geometry at Infinity
4. Results on 3-dimensional Gradient Ricci Solitons• Maximum volume Growth• Behavior of Ricci curvature at Infinity• Area Growth of level sets• Volume Growth of sublevel Sets • Diameter Growth
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Ricci Flow and Basic
2Cigar Soliton
Continued
Asymptotic Scalar Curvature Ratio
Continued
Behavior of Scalar Curvature
Continued: 3-dim’al
Maximum volume growth
Continued
Continued
Area of level sets
Continued
Continued
Continued
Volume of sublevel sets
Continued
Diameter growth