4 papers
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…
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-…
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…
Conformal bounds for the first eigenvalue of the -Laplacian system
Mohammad Javad Habibi Vosta Kolaei, Shahroud Azami
Consider as an -dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue of the $\le…