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math.DG2025
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.DG2025
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.DG2023
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…