3 papers
math.DG2026
Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics
Mohammad Javad Habibi Vosta Kolaei
We study the extrinsic geometry of isometric immersions into Riemannian manifolds of co-dimension one via a fourth-order geometric evolution of the shape operator. Motivated by bi-…
math.DG2026
Ergodic and Entropic Behavior of the Harmonic Map Heat Flow to the Moduli Space of Flat Tori
Mohammad Javad Habibi Vosta Kolaei
We investigate the harmonic map heat flow from a compact Riemannian manifold \( M \) into the moduli space \( \mathcal{M}_1 \) of unit-area flat tori, which carries a natural hyper…
math.AP2025
An analytic study of bi-harmonic flow with a forcing term
Mohammad Javad Habibi Vosta Kolaei
In this paper, we study the evolution of smooth, closed planar curves under a fourth order biharmonic flow with an external forcing term. Such flows arise naturally in the theory o…