OnCr-closing for flows on orientable and non-orientable 2-manifolds
β Scribed by Carlos Gutierrez; Benito Pires
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 278 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1678-7714
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Dedicnted to the Memory of M y Parents (Eingegangen am 3. 1.1975) BILINSKI [2].) Obviously and from EULER'S formula (f(M) +v(lM) -h ( M ) ) = 2 (1 -9) (where f(iV) or h ( M ) or v ( M ) denotes the number of 2-, or 1-or O-cells of M , respectively) follow the equalities C i . p i ( M ) = C,i.v,(N)=Z
We study the existence of periodic solutions of singular Hamiltonian systems as well as closed geodesics on non-compact Riemannian manifolds via variational methods. For Hamiltonian systems, we show the existence of a periodic solution of prescribed-energy problem: