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Applied Mathematics: Kolkata, India, February 2014 by Susmita Sarkar, Uma Basu, Soumen De

By Susmita Sarkar, Uma Basu, Soumen De

Utilized arithmetic is a set of educational articles targeting and highlighting a few easy innovations either analytical and numerical, in usual and partial differential equations, nonlinear differential equations, dynamical platforms, wavelets, quintessential equations, chaos and fractals, quantum details and intricate structures, and so on. The ebook might be worthwhile to researchers in utilized arithmetic and theoretical physics.

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O. Popovych, C. Sophocleous, Group Classification of the Fisher Equation with Time-dependent Coefficients, ed. O. Vaneeva, C. O. L. M. A. Damianou. Group Analysis of Differential Equations and Integrable Systems VI (University of Cyprus, Lefkosia, 2013), pp. 225–236 Chapter 3 The Ricci Flow Equation and Poincaré Conjecture Amiya Mukherjee Abstract The Poincaré conjecture was formulated by the French mathematician Henri Poincaré more than hundred years ago. The conjecture states, when reformulated in modern language, that any simply connected closed 3-manifold is diffeomorphic to the standard 3-sphere S 3 .

G. Perelman, Ricci flow with surgery on three-manifolds. DG/0303109 (2003) 17. G. Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds. DG/0307245 (2003) 3 The Ricci Flow Equation and Poincaré Conjecture 29 18. H. Poincaré, Cinquième complèment à l’analysis situs (Œuvres Tome VI, Gauthier-Villars, Paris, 1953) 19. P. Scott, The geometries of 3-manifolds. Bull. London Math. Soc. 15, 401–487 (1983) 20. S. Smale, Generalized Poincaré’s conjecture in dimensions greater than four.

Ivey, Ricci solitons on compact three-manifolds. Diff. Geom. Appl. 3, 301–307 (1993) 13. B. Kleiner, J. Lott, Notes on Perelman’s papers. DG/0605667 (2006) 14. J. Morgan, G. Tian, Ricci flow and the Poincaré conjecture. org/abs/math. DG/0607607 (2006) 15. G. Perelman, The entropy formula for the Ricci flow and its geometric applications. DG/0211159 (2002) 16. G. Perelman, Ricci flow with surgery on three-manifolds. DG/0303109 (2003) 17. G. Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds.

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