A formula with volumes of five tetrahedra and discrete curvature
Korepanov, I. G.
Exactly Solvable and Integrable Systems
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Metric Geometry
Quantum Algebra
Original · EN
Given five points in a three-dimensional euclidean space, one can consider five tetrahedra, using those points as vertices. We present a pentagon-like formula containing the product of three volumes of those tetrahedra in its l.h.s. and the product of the two remaining tetrahedron volumes in its r.h.s., as well as the derivative of the "discrete curvature" which arises when we slightly deform our euclidean space.
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