Bott functions and the euler characteristic
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.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1615-1616.
Citation Example: Bondar' O. P. Bott functions and the euler characteristic // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1431–1432.