If you made any changes in Pure these will be visible here soon.

Research Output 2009 2019

  • 13 Citations
  • 2 h-Index
  • 8 Article
  • 1 Conference contribution
2019

New examples of compact special lagrangian submanifolds embedded in hyper-kähler manifolds

Hattori, K., 2019 Jan 1, In : Journal of Symplectic Geometry. 17, 2, p. 301-335 35 p.

Research output: Contribution to journalArticle

Lagrangian Submanifold
Desingularization
Self-intersection
Immersion
Converge
2017
Hilbert Scheme
Metric
Quotient
Lie groups
Complexification

The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds

Hattori, K., 2017 Aug 15, In : Geometry and Topology. 21, 5, p. 2683-2723 41 p.

Research output: Contribution to journalArticle

Volume Growth
Flat Manifold
Tangent Cone
Nonuniqueness
Infinity
2014
5 Citations (Scopus)

Self-similar solutions to the mean curvature flows on Riemannian cone manifolds and special Lagrangians on Toric Calabi-Yau cones

Futaki, A., Hattori, K. & Yamamoto, H., 2014 Oct 1, In : Osaka Journal of Mathematics. 51, 4, p. 1053-1079 27 p.

Research output: Contribution to journalArticle

Mean Curvature Flow
Calabi-Yau
Self-similar Solutions
Cone
Einstein Manifold

The geometry on Hyper-Kähler manifolds of type A<inf>∞</inf>

Hattori, K., 2014, Springer Proceedings in Mathematics and Statistics. Springer New York LLC, Vol. 106. p. 309-317 9 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Flat Manifold
Symplectic Structure
Asymptotic Behavior
Review
2 Citations (Scopus)

The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞

Hattori, K., 2014 Oct 1, In : Advances in Geometry. 14, 4, p. 613-630 18 p.

Research output: Contribution to journalArticle

Symplectic Structure
Volume Growth
Flat Manifold
Complex Manifolds
Equivariant
2013

An integral invariant from the view point of locally conformally Kähler geometry

Futaki, A., Hattori, K. & Ornea, L., 2013, In : Manuscripta Mathematica. 140, 1-2, p. 1-12 12 p.

Research output: Contribution to journalArticle

Invariant
Compact Manifold
Complex Manifolds
Einstein Metrics
Vanish
2011
6 Citations (Scopus)

The volume growth of hyper-Kähler manifolds of type A

Hattori, K., 2011 Oct, In : Journal of Geometric Analysis. 21, 4, p. 920-949 30 p.

Research output: Contribution to journalArticle

Volume Growth
Topology
Metric
2009

A rigidity theorem for quaternionic Kähler structures

Hattori, K., 2009 Nov, In : International Journal of Mathematics. 20, 11, p. 1397-1419 23 p.

Research output: Contribution to journalArticle

Moduli Space
Rigidity
Twistors
Riemannian geometry
Scalar Curvature