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Information × Registration Number 0211U002774, 0109U003825 , R & D reports Title Topology of manifolds and applications popup.stage_title Head Sharko Vladimir Vasilievich, Registration Date 24-02-2011 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 In the framework of the project М/150-2009 ''Topology of manifolds and applications'' several problems of topology are explored, in particular following objects are investigated: 1. Morse-Bott functions on manifolds with a semi-free circle action; 2. topological equivalence of closed 1-forms; 3. diffeomorfisms which preserve orvits of vector fields; 4. topological properties of dynamical systems which are induced by interior automorphisms of manifolds; 5. characterization of cojugate pseudo-harmonic functions. Especially, a bunch of problems is solved which are of big importance in the theory of smooth functions, differential forms and vector fields on manifolds. Topological invariants of some objects of this type are constructed and studied. Some topological aspects of holomorphic mappings of riemmannian surfaces and related dynamical systems are explored. Product Description popup.authors Власенко Ігор Юрійович Максименко Сергій Іванович Полулях Євген Олександрович Пришляк Олександр Олегович popup.nrat_date 2020-04-02 Close