Naotoshi Fujihara

activity

20222026

collaborators

5 papers

math.DG2026

Convergence of cohomogeneity-one Lagrangian mean curvature flow in positive Kähler-Einstein manifolds

Naotoshi Fujihara, Toru Kajigaya, Albert Wood

We prove that Lagrangian mean curvature flow starting from a closed, embedded, cohomogeneity-one Lagrangian in a closed, positive Kähler--Einstein manifold exists for all time, rem…

math.DG2024

Isotropy invariant graphical mean curvature flows in warped products

Naotoshi Fujihara, Naoyuki Koike

In this paper, we study the graphical mean curvature flow in a warped product $_{r} G / K \times I$ , where $G / K$ is a symmetric space of compact type, $I$ is an open interval, and $r$ …

math.DG2024

Curve shortening flows on surfaces that are not convex at infinity

Naotoshi Fujihara

The behavior of the curve shortening flow has been extensively studied. Gage, Hamilton, and Grayson proved that, under the curve shortening flow, an embedded closed curve in the Eu…

math.DG2023

Mean curvature flows of graphs sliding off to infinity in warped product manifolds

Naotoshi Fujihara

We study mean curvature flows in a warped product manifold defined by a closed Riemannian manifold and $R$ . In such a warped product manifold, we can define the notion of…

math.DG2022

Curve shortening flows on rotational surfaces generated by monotone convex functions

Naotoshi Fujihara

In this paper, we study curve shortening flows on rotational surfaces in $R^{3}$ . We assume that the surfaces have negative Gauss curvatures and that some condition related…