I. Kh. Sabitov, “On a method of volume calculation for bodies”, Sib. Èlektron. Mat. Izv., 2013, Volume 10,Pages <nobr>615

This article is cited in 5 papers

Geometry and topology

On a method of volume calculation for bodies

I. Kh. Sabitov^ab

^a M. V. Lomonosov Moscow State University
^b P. G. Demidov Yaroslavl State University

Abstract: In this paper we propose some integral formulae for volumes of bodies with known boundaries in the spaces of constant curvature of arbitrary dimension with some examples of their applications.

Keywords: models of spaces of constant curvature, volumes and algebraic volumes, polygons, prizmo- and ball-like bodies, symplices.

UDC: 514.132

MSC: 52B15, 51M20, 51M25, 51M09

Received September 17, 2013, published October 30, 2013