Realization of a closed 1-form on closed oriented surfaces

DOI10.1007/S11253-012-0683-4zbMath1264.57005OpenAlexW1971448669MaRDI QIDQ1933290

N. V. Budnyts'ka, T. V. Rybalkina

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0683-4

zbMATH Keywords

graphrotation numberintegral curveisolated zeroclosed 1-formclosed oriented manifoldvalence of a vertex

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30) Index theory for dynamical systems, Morse-Conley indices (37B30) Flows on surfaces (37E35)

Cites Work

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• Topological equivalence of smooth functions with isolated critical points on a closed surface
• Equivalence of closed 1-forms on surfaces with edge
• On continuity of geodesic frameworks of flows on surfaces
• Topological classification of flows on closed two-dimensional manifolds

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