A formula with volumes of five tetrahedra and discrete curvature

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dc.creatorKorepanov, I. G.
dc.date2000-03-01
dc.date.accessioned2026-07-07T05:32:42Z
dc.date.available2026-07-07T05:32:42Z
dc.descriptionGiven 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.
dc.descriptionLaTeX, 2 pages. An addendum to solv-int/9911008
dc.identifierhttps://arxiv.org/abs/nlin/0003001
dc.identifierhttp://arxiv.org/abs/nlin/0003001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79753
dc.subjectExactly Solvable and Integrable Systems
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.subjectMetric Geometry
dc.subjectQuantum Algebra
dc.titleA formula with volumes of five tetrahedra and discrete curvature
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