26 citations · 55 across the 21 of their papers we have counts for
22 papers
The optimal diameter estimate for positive Yamabe metrics
Kazuo Akutagawa, Mijia Lai, Chao Li +2
In this paper, we prove the optimal diameter estimate for positive Yamabe metrics on a connected, closed manifold. It is a scalar curvature version of both classical Myers' diamete…
Harmonic maps from the product of the hyperbolic planes to the hyperbolic space
Kazuo Akutagawa, Yoshihiko Matsumoto
An existence result is shown for the asymptotic Dirichlet problem for harmonic maps from the product of the hyperbolic planes to the hyperbolic space, where the Dirichlet data is g…
Non-existence of Yamabe minimizers on singular spheres
Kazuo Akutagawa, Ilaria Mondello
We prove that a minimizer of the Yamabe functional does not exist for a sphere of dimension , endowed with a standard edge-cone spherical metric of cone an…
A gap theorem for positive Einstein metrics on the four-sphere
Kazuo Akutagawa, Hisaaki Endo, Harish Seshadri
We show that there exists a universal positive constant with the following property: Let be a positive Einstein metric on . If the Yamabe constant of t…
Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space
Reiko Aiyama, Kazuo Akutagawa, Satoru Imagawa +1
We perform a systematic study of the image of the Gauss map for complete minimal surfaces in Euclidean four-space. In particular, we give a geometric interpretation of the maximal…
Proper harmonic maps between asymptotically hyperbolic manifolds
Kazuo Akutagawa, Yoshihiko Matsumoto
Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with boundary conditions at infinity…