3 papers
math.DG2026
Making Surfaces Biharmonic by Conformal Reparametrization in Anti-de Sitter Three-Space
Dipesh Bhandari
Harmonic immersions of surfaces are minimal, while biharmonic maps form a fourth-order extension of harmonic-map theory. Because every harmonic map is automatically biharmonic, the…
math-ph2026
Hyperbolic Completion of Newton's Off-Center Orbit Problem: Symmetry, Inversion Duality, and Magnetic Classification
Dipesh Bhandari
Which central forces produce circular trajectories whose geometric center differs from the force center? We solve the hyperbolic version of this problem for $$ V(r)=-\fracα{(R^2-r^…
math-ph2024
A Kac-Weyl Character Identity
Michael A. Baker, Dipesh Bhandari, Michael Crescimanno
An explicit quantization of Chern-Simons theory leads to an identity between sums of the Kac-Weyl characters. One can use this identity to prove inequalities that constrain the fus…