3 papers
math.DG2011
Mean curvature flow of Lagrangian submanifolds with isolated conical singularities
Tapio Behrndt
In this paper we study the short time existence problem for the (generalized) Lagrangian mean curvature flow in (almost) Calabi--Yau manifolds when the initial Lagrangian submanifo…
math.AP2011
On the Cauchy problem for the heat equation on Riemannian manifolds with conical singularities
Tapio Behrndt
We study the existence and regularity of solutions to the Cauchy problem for the inhomogeneous heat equation on compact Riemannian manifolds with conical singularities. We introduc…
math.DG2008
Generalized Lagrangian mean curvature flow in Kähler manifolds that are almost Einstein
Tapio Behrndt
We introduce the notion of Kähler manifolds that are almost Einstein and we define a generalized mean curvature vector field along submanifolds in them. We prove that Lagrangian su…