Aspects of Global Analysis of Circle-Valued Mappings
DOI10.1007/978-3-319-06554-0_4zbMath1323.58009OpenAlexW83657911MaRDI QIDQ2945422
Dana Mangra, Cornel Pintea, Dorin Andrica
Publication date: 11 September 2015
Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_4
projective spacefundamental groupRiemann surfacecompact surfaceMorse functioncovering mapcharacteristic pointcircular functionPoincaré-Hopf theoremMorse-Smale characteristiccircular Morse-Smale characteristic\(\varphi\)-categorycircular \(\varphi\)-categoryfirst Heisenberg group
Covering spaces and low-dimensional topology (57M10) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70) Differentiable mappings in differential topology (57R35)
Cites Work
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- On the total curvature of immersed manifolds. II
- On a superlinear elliptic equation
- Circle-valued Morse theory
- The plane \(CS^{\infty}\) non-criticality of certain closed sets
- A measure of the deviation from there being fibrations between a pair of compact manifolds
- Small values of the Lusternik-Schnirelman category for manifolds
- On the minimal number of critical points of smooth maps between closed manifolds
- Singularities and topology of hypersurfaces
- Contact 3-manifolds twenty years since J. Martinet's work
- Critical point theory and submanifold geometry
- Boundary layer methods for Lipschitz domains in Riemannian manifolds
- Infinite dimensional Morse theory and multiple solution problems
- Coisotropic submanifolds, leaf-wise fixed points, and presymplectic embeddings
- The size of some critical sets by means of dimension and algebraic \(\varphi\)-category
- Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains
- Isomorphic homotopy groups of certain regular sets and their images
- Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains
- The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
- On a result concerning a property of closed manifolds
- Global classification of isolated singularities in dimensions (4,3) and (8,5)
- On the Total Curvature of Immersed Manifolds
- Inequalities of critical point theory
- Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$
- Smooth Mappings with Higher Dimensional Critical Sets
- Morse Theory. (AM-51)
- Comparing handle decompositions of homotopy equivalent manifolds
- Continuous mappings with an infinite number of topologically critical points
- Size of characteristic sets and functions with prescribed gradient
- Differentiable mappings with an infinite number of critical points
- On Smooth Maps with Finitely Many Critical Points
- Size of tangencies to non-involutve distributions
- Recent Results on the Size of Critical Sets
- An invitation to Morse theory
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