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math.DG2012★ 1 cited
Kropina metrics and Zermelo navigation on Riemannian manifolds
Ryozo Yoshikawa, Sorin V. Sabau
The present paper studies globally defined Kropina metrics as solutions of the Zermelo's navigation problem. Moreover, we characterize the Kropina metrics of constant flag curvatur…
math.DG2012
On the existence of Generalized Unicorns on Surfaces
S. V. Sabau, K. Shibuya, H. Shimada
This paper addresses the problem of existence of generalized Landsberg structures on surfaces using the Cartan-Kähler Theorem and a Path Geometry approach.
math.DG2010★ 1 cited
Sufficient conditions for open manifolds to be diffeomorphic to Euclidean spaces
Kei Kondo, Minoru Tanaka
Let M be a complete non-compact connected Riemannian n-dimensional manifold. We first prove that, for any fixed point p in M, the radial Ricci curvature of M at p is bounded from b…