Abstract:We study smooth functions on manifolds whose sets of critical points is a disjoint union of submanifolds each diffeomorphic to the same manifold P. These submanifolds are not necessarily non-degenerate. We obtain sufficent conditions for existence of functions with minimal number of such submanifolds.
This a translation from Ukrainian of PhD defended in 1993 at the Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.
Scientific advisor: Volodymyr Sharko.
From: Olha Bondar [view email]
[v1]
Fri, 12 Jun 2026 06:38:44 UTC (5,293 KB)
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