Abstract
We give a complementary generalization of the extensions of Bonnet–Myers theorem obtained by Calabi and also Cheeger–Gromov–Taylor.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Calabi, E.: On Ricci curvature and geodesics. Duke Math. J. 34, 667–676 (1967)
Cheeger, J., Gromov, M., Taylor, M.: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. J. Differ. Geom. 17(1), 15–53 (1982)
Dai, X., Wei, G.: A comparison-estimate of Toponogov type for Ricci curvature. Math. Ann. 303(2), 297–306 (1995)
Wu, H., Shen, C., Yu, Y.: An Introduction to Riemannian Geometry (in Chinese). Beijing University Press, Beijing (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wan, J. An extension of Bonnet–Myers theorem. Math. Z. 291, 195–197 (2019). https://doi.org/10.1007/s00209-018-2078-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00209-018-2078-1