First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.
computational-mathematics scientific-computing partial-differential-equations numerical-analysis quantum-field-theory mathematical-physics riemannian-geometry heat-kernel anomalous-diffusion differential-operators mathematical-proof laplace-beltrami-operator thermal-field-theory spectral-theory curved-spacetime fractional-laplacian curvature-corrections manifold-analysis asymptotic-expansion
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Updated
Nov 19, 2025 - Python