Some existence results for dynamical systems on non-complete Riemannian manifolds

DOI10.12775/TMNA.1999.008zbMath0942.58022OpenAlexW2547019253WikidataQ115239577 ScholiaQ115239577MaRDI QIDQ1809489

Elvira Mirenghi, Maria Tucci

Publication date: 13 February 2000

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1999.008

zbMATH Keywords

variational methodsRiemannian manifoldssectional curvatureMorse index

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (3)

A quadratic Bolza-type problem in a Riemannian manifold. ⋮ Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential ⋮ Periodic solutions for dynamical systems on non-complete Riemannian manifolds

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