A set of axioms for the degree of a tangent vector field on differentiable manifolds

DOI10.1155/2010/845631zbMath1196.57026OpenAlexW1972442662WikidataQ59254159 ScholiaQ59254159MaRDI QIDQ978972

Massimo Furi, Maria Patrizia Pera, Marco Spadini

Publication date: 25 June 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226240

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Degree theory for nonlinear operators (47H11) Calculus on manifolds; nonlinear operators (58C99)

Related Items (4)

Periodic solutions to perturbed nonlinear oscillators with memory ⋮ On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds ⋮ Effective topological degree computation based on interval arithmetic ⋮ Periodic perturbations of a class of functional differential equations

Cites Work

• On the uniqueness of the coincidence index on orientable differentiable manifolds
• The Euler characteristic of vector fields on Banach manifolds and a globalization of Leray-Schauder degree
• On the uniqueness of the topological degree
• On the uniqueness of the fixed point index on differentiable manifolds
• Differential Topology
• The Operator of Translation Along the Trajectories of Differential Equations
• Ein elementarer analytischer Beweis zur Eindeutigkeit des Abbildungsgrades im Rⁿ
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