Dipesh Bhandari

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20232026

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math-ph2026

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, $S O (2, 1)$ Symmetry, and Magnetic Uniqueness

Dipesh Bhandari

The hyperbolic potential $V (r) = - \frac{α}{( R ^{2} - r ^{2} ) ^{2}}$ was identified by Olshanii as the negative-curvature counterpart of Newton's off-center circular-orbit problem. We first sh…

math.DG2026

Biharmonic Conformal Immersions of Hypersurfaces: Dirac Rigidity and Mixed Clifford Geometry

Dipesh Bhandari

A biharmonic conformal immersion asks whether a hypersurface can become a critical point of the bienergy after a conformal change of the domain metric. We study when this flexibili…

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…

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, SO(2,1) Symmetry, and Magnetic Uniqueness

Biharmonic Conformal Immersions of Hypersurfaces: Dirac Rigidity and Mixed Clifford Geometry

Making Surfaces Biharmonic by Conformal Reparametrization in Anti-de Sitter Three-Space

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, $S O (2, 1)$ Symmetry, and Magnetic Uniqueness