Towards physically motivated proofs of the Poincaré and geometrization conjectures

DOI10.1016/j.geomphys.2007.11.003zbMath1135.53026arXivhep-th/0701084OpenAlexW2066715134WikidataQ123152735 ScholiaQ123152735MaRDI QIDQ2476135

Arkady L. Kholodenko

Publication date: 11 March 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0701084

zbMATH Keywords

Ginzburg-Landau functionalHilbert-Einstein actiondilaton gravityconformal field theories in two and three dimensionscritical dynamics of phase transitionsNash and Perelman's entropyRicci and Yamabe flows

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) General relativity (83C99) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of local differential geometry to the sciences (53B50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Dynamic critical phenomena in statistical mechanics (82C27)

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