7 citations · 19 across the 14 of their papers we have counts for
14 papers
Smooth maps minimizing the energy and the calibrated geometry
Kota Hattori
We generalize the notion of calibrated submanifolds to smooth maps and show that the several examples of smooth maps appearing in the differential geometry become the examples of o…
Spectral convergence in geometric quantization on surfaces
Kota Hattori
We study the geometric quantization on surfaces from the viewpoint of the spectral convergence. We take a special Lagrangian fibrations on the surfaces and a family of hy…
Spectral convergence in geometric quantization --- the case of toric symplectic manifolds
Kota Hattori, Mayuko Yamashita
In this paper, we show the spectral convergence result of -Laplacians when is a compact toric symplectic manifold equipped with the natural prequantum…
Spectral convergence in geometric quantization -- the case of non-singular Langrangian fibrations
Kota Hattori, Mayuko Yamashita
We develop a new approach to geometric quantization using the theory of convergence of metric measure spaces. Given a family of Kähler polarizations converging to a non-singular re…
The geometric quantizations and the measured Gromov-Hausdorff convergences
Kota Hattori
On a compact symplectic manifold with a prequantum line bundle , we consider the one-parameter family of -compatible complex structures which converges to…
On spectral convergence of vector bundles and convergence of principal bundles
Kota Hattori
In this article we consider the continuity of the eigenvalues of the connection Laplacian of -connections on vector bundles over Riemannian manifolds. To show it, we introduce t…
The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds
Kota Hattori
It is shown by Colding and Minicozzi the uniqueness of the tangent cone at infinity of Ricci-flat manifolds with Euclidean volume growth which has at least one tangent cone at infi…
New examples of compact special Lagrangian submanifolds embedded in hyper-Kähler manifolds
Kota Hattori
We construct smooth families of compact special Lagrangian submanifolds embedded in some toric hyper-K\"ahler manifolds, which never become holomorphic Lagrangian submanifolds via…
A generalization of Taub-NUT deformations
Kota Hattori
We introduce a generalization of Taub-NUT deformations for large families of hyper-Kaehler quotients including toric hyper-Kaehler manifolds and quiver varieties, and apply them to…
The holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}
Kota Hattori
We study the holomorphic symplectic structures on hyper-Kaehler manifolds of type A_{\infty}, by using the torus action.
Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on toric Calabi-Yau cones
Akito Futaki, Kota Hattori, Hikaru Yamamoto
The self-similar solutions to the mean curvature flows have been defined and studied on the Euclidean space. In this paper we initiate a general treatment of the self-similar solut…
An integral invariant from the view point of locally conformally Kähler geometry
Akito Futaki, Kota Hattori, Liviu Ornea
In this paper we study an integral invariant which obstructs the existence on a compact complex manifold of a volume form with the determinant of its Ricci form proportional to its…
The volume growth of hyperkaehler manifolds of type A_{\infty}
Kota Hattori
We study the volume growth of hyperkaehler manifolds of type constructed by Anderson-Kronheimer-LeBrun and Goto. These are noncompact complete 4-dimensional hyperkaehl…
A rigidity theorem for quaternionic Kaehler structures
Kota Hattori
We study the moduli space of quaternionic Kaehler structures on a compact manifold of dimension 4n (n>2) from a point of view of Riemannian geometry, not twistor theory. Then we ob…