Ukrainian Mathematical Journal

, Volume 51, Issue 10, pp 1615–1616 | Cite as

Bott functions and the euler characteristic

  • O. P. Bondar’
Brief Communications


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.


Compact Manifold Euler Characteristic Morse Theory Integrable Hamiltonian System Differentiable Manifold 


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Copyright information

© Kluwer Academic/Plenum Publishers 1999

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  • O. P. Bondar’

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