4 citations · 8 across the 7 of their papers we have counts for
7 papers
The length of the shortest closed geodesics on a positively curved manifold
Yoe Itokawa, Ryoichi Kobayashi
We give a metric characterization of the Euclidean sphere in terms of the lower bound of the sectional curvature and the length of the shortest closed geodesics.
Moving frames on the twistor space of self-dual positive Einstein 4-manifolds
Ryoichi Kobayashi, Kensuke Onda
The twistor space of self-dual positive Einstein manifolds naturally admits two 1-parameter families of Riemannian metrics, one is the family of canonical deformation metrics and t…
Ricci flow unstable cell centered at an Einstein metric on the twistor space of positive quaternion Kähler manifolds of dimension
Ryoichi Kobayashi
We show that a 1-parameter family Ricci flow ancient solutions arises from the natural collapsings of the twistor space of positive quaternion Kähler manifolds. We use these ancien…
Affine Schwarz map for the hypergeometric differential equation
Ryoichi Kobayashi, Tatsuya Nishizaka, Shoji Shinzato +1
We propose an affine version of the Schwarz map for the hypergeometric differential equation, and study its image when the monodromy group is finite.
Truncated counting functions of holomorphic curves in Abelian varieties
Ryoichi Kobayashi
A new proof of the Second Main Theorem with truncation level 1 for Zariski-dense holomorphic curves into Abelian varieties, which has just been proved by Yamanoi [Y2], is presented…
The Gauss map of pseudo-algebraic minimal surfaces
Y. Kawakami, R. Kobayashi, R. Miyaoka
We refine Osserman's argument on the exceptional values of the Gauss map of algebraic minimal surfaces. This gives an effective estimate for the number of exceptional values and th…