2 citations · 3 across the 4 of their papers we have counts for
4 papers
Calibrated submanifolds in neck manifolds
Hiroshi Nakahara
We find calibrated submanifolds in neck manifolds. Particularly, we obtain a calibrated submanifold in the Lagrangian self-expander constructed by Joyce, Lee and Tsui.
Mean curvature flow in submanifolds
Hiroshi Nakahara
We obtain explicit solutions of the mean curvature flow in some submanifolds of the Euclidean space. We give particularly an explicit solution of the flow of a hypersurface in the…
Special Lagrangian submanifolds in C^n with flat and Fubini-Study metrics
Hiroshi Nakahara
We give a necessary and sufficient condition for a special Lagrangian submanifold in C^n constructed by Lawlor being also special Lagrangian in C^n with the Fubini-Study form.
Some examples of self-similar solutions and translating solitons for mean curvature flow
Hiroshi Nakahara
We construct new examples of self-similar solutions and translating solitons for Lagrangian mean curvature flow by extending the method of Joyce, Lee and Tsui. Those examples inclu…