Bott functions and the euler characteristic
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In terms of the Euler characteristic, we obtain the condition of existence of Bott functions on differentiable manifolds that have a set of critical points formed by connected homeomorphic submanifolds.
KeywordsCompact Manifold Euler Characteristic Morse Theory Integrable Hamiltonian System Differentiable Manifold
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- 6.S. V. Matveev, A. T. Fomenko, and V. V. Sharko, “Morse round functions and isoenergetic surfaces of integrable Hamiltonian systems,”Mat. Sb.,135, No. 3, 325–345 (1988).Google Scholar
© Kluwer Academic/Plenum Publishers 1999