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- Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
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This text introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. Key ideas, difficult proofs, and important applications are explained in a succinct, accessible, and unified manner.
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