Geodesics without conjugate points and curvatures at infinity
We study the asymptotic behavior of curvature and prove that the integral of curvature along a geodesic without conjugate points is nonpositive and some generalizations of Myers theorem and Cohn-Vossen's theorem. Some applications are also given.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2000-01-01
|
| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000200002 |