Access the full text.
Sign up today, get DeepDyve free for 14 days.
SV Bolotin (1978)
Libration motions of natural dynamical systems, Vestnik MoskovUniv. Ser. I Mat. Mekh., 6
V. Ginzburg (2003)
The Weinstein conjecture and theorems of nearby and almost existencearXiv: Differential Geometry
P. Rabinowitz (1979)
Periodic solutions of a Hamiltonian system on a prescribed energy surfaceJournal of Differential Equations, 33
M. Günther (1989)
Zum Einbettungssatz von J. NashMathematische Nachrichten, 144
(1972)
Lectures on algebraic topology, Die Grundlehren der mathematischenWissenschaften, vol
F. Pasquotto (2012)
A Short History of the Weinstein ConjectureJahresbericht der Deutschen Mathematiker-Vereinigung, 114
C. Viterbo (1987)
A proof of Weinstein’s conjecture in ℝ 2nAnnales De L Institut Henri Poincare-analyse Non Lineaire, 4
U. Frauenfelder, F. Schlenk (2003)
Hamiltonian dynamics on convex symplectic manifoldsIsrael Journal of Mathematics, 159
JB Berg, F Pasquotto, RCAM Vandervorst (2009)
Closed characteristics on non-compact hypersurfaces in $${\mathbb{R}}^{2n}$$ R 2 nMath. Ann., 343
O. Müller, M. Nardmann (2013)
Every conformal class contains a metric of bounded geometryMathematische Annalen, 363
(1985)
GeodätischeLinien aufRiemannschenMannigfaltigkeiten
SV Bolotin, VV Kozlov (1978)
Libration in systems with many degrees of freedomPrikl. Mat. Mekh., 42
Emmanuel Hebey (1999)
Nonlinear analysis on manifolds: Sobolev spaces and inequalities
H. Gluck, W. Ziller (1984)
EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS
S. Bolotin, V. Kozlov (1978)
Libration in systems with many degrees of freedom: PMM vol. 42, n≗2, 1978, pp. 245–250Journal of Applied Mathematics and Mechanics, 42
F. Linton, J. Munkres (1967)
Elementary Differential Topology.
H. Geiges, Kai Zehmisch (2011)
Symplectic cobordisms and the strong Weinstein conjectureMathematical Proceedings of the Cambridge Philosophical Society, 153
Alberto Abbondandolo, M. Schwarz (2006)
NOTES ON FLOER HOMOLOGY AND LOOP SPACE HOMOLOGY
D. Offin (1987)
A class of periodic orbits in classical mechanicsJournal of Differential Equations, 66
V Benci (1984)
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systemsAnn. Inst. H. Poincaré Anal. Non Linéaire, 1
J. Nash (1956)
The imbedding problem for Riemannian manifoldsAnnals of Mathematics, 63
J. Berg, F. Pasquotto, T. Rot, R. Vandervorst (2013)
Closed characteristics on non-compact mechanical contact manifolds
(1978)
Libration motions of natural dynamical systems
M. Günther (2010)
Isometric Embeddings of Riemannian Manifolds
W. Klingenberg (1978)
Lectures on closed geodesics
M. Sadiku (2018)
Variational MethodsComputational Electromagnetics with MATLAB®
H. Hofer, E. Zehnder (1994)
Symplectic Invariants and Hamiltonian Dynamics
K. Cieliebak (1998)
A geometric obstruction to the contact type propertyMathematische Zeitschrift, 228
J. Milnor (1965)
Lectures on the h-cobordism theorem
D. Salamon (1995)
MORSE HOMOLOGY (Progress in Mathematics 111)Bulletin of The London Mathematical Society, 27
K. Cieliebak, U. Frauenfelder (2007)
A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGSPacific Journal of Mathematics, 239
C. Viterbo (1999)
Functors and Computations in Floer Homology with Applications, IGeometric & Functional Analysis GAFA, 9
H. Hofer, C. Viterbo (1988)
The Weinstein conjecture in cotangent bundles and related resultsAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 15
I. Ekeland (1984)
A Morse Theory for Hamiltonian SystemsNorth-holland Mathematics Studies, 92
Brigitte Maier (2016)
Fundamentals Of Differential Geometry
V. Benci, Annales l’I (1984)
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systemsAnnales De L Institut Henri Poincare-analyse Non Lineaire, 1
(2008)
An introduction to contact topology, Cambridge Stud
C Viterbo (1987)
A proof of Weinstein’s conjecture in $${ R}^{2n}$$ R 2 nAnn. Inst. H. Poincaré Anal. Non Linéaire, 4
We show that the Lagrangian of classical mechanics on a Riemannian manifold of bounded geometry carries a periodic solution of motion with prescribed energy, provided the potential satisfies an asymptotic growth condition, changes sign, and the negative set of the potential is non-trivial in the relative homology.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Jan 11, 2016
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.