Closed Kac-Rice type formulas on Riemannian manifolds
classification
🧮 math.DG
keywords
formulasfunctionriemannianclosedcompactcomputederivativesestablish
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We establish a few formulas that compute the volume of the zero-set (or nodal set) of a function on a compact Riemannian manifold as integrals of functionals of the function and its derivatives.
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