A generalized maximal diameter sphere theorem
Sign Up to like & getrecommendations! Published in 2019 at "Tohoku Mathematical Journal"
DOI: 10.2748/tmj/1552100447
Abstract: We prove that if a complete connected $n$-dimensional Riemannian manifold $M$ has radial sectional curvature at a base point $p\in M$ bounded from below by the radial curvature function of a two-sphere of revolution $\widetilde… read more here.
Keywords: diameter; generalized maximal; maximal diameter; curvature ... See more keywords
Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/83448344
Abstract: We show, as our main theorem, that if a Lipschitz map from a compact Riemannian manifold M to a connected compact Riemannian manifold N , where dimM ≥ dimN , has no singular points on… read more here.
Keywords: via ehresmann; sphere theorem; theorem lipschitz; reeb sphere ... See more keywords