Add to ORKGAbstract. We express the volume of a simplex in spherical or hyperbolic space by iterated integrals of differential forms following Schläfli and Aomoto. We study analytic properties of the volume function and describe the differential equation satisfied by this function. 1
International audienceGiven a vector a ∈ Rn , we provide an alternative and direct proof for the for...
Abstract. Integral foliated simplicial volume is a version of simplicial volume combining the rigidi...
In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with mm2...
We present an explicit formula for calculating the volume of an arbitrary hyperbolic 4-simplex in te...
Gausz uses the word ‘jungle’ in relation to volumes in non-Eucidean spaces, cf. Fejes Tóth [4], p. 3...
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tet...
The volume of hyperbolic simplicies plays an important role in the investigation of the volume of hy...
This paper collects some important formulas on hyperbolic volume. To determine con-crete values of v...
We propose a new approach to the problem of calculations of volumes in the Lobachevsky space, and we...
Abstract. In this paper we describe a function Fn: R+ → R+ such that for any hyperbolic n-manifold M...
Summary. It is shown that the known theorems about volume integration of some differential-vectorial...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
International audienceFor closed and oriented hyperbolic surfaces, a formula of Witten establishes a...
In the present paper from Derevnin–Mednykh’s formula we obtain integral formulas for the volume of a...
International audienceGiven a vector a ∈ Rn , we provide an alternative and direct proof for the for...
Abstract. Integral foliated simplicial volume is a version of simplicial volume combining the rigidi...
In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with mm2...
We present an explicit formula for calculating the volume of an arbitrary hyperbolic 4-simplex in te...
Gausz uses the word ‘jungle’ in relation to volumes in non-Eucidean spaces, cf. Fejes Tóth [4], p. 3...
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tet...
The volume of hyperbolic simplicies plays an important role in the investigation of the volume of hy...
This paper collects some important formulas on hyperbolic volume. To determine con-crete values of v...
We propose a new approach to the problem of calculations of volumes in the Lobachevsky space, and we...
Abstract. In this paper we describe a function Fn: R+ → R+ such that for any hyperbolic n-manifold M...
Summary. It is shown that the known theorems about volume integration of some differential-vectorial...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then H1.M IZp / has dimensio...
International audienceFor closed and oriented hyperbolic surfaces, a formula of Witten establishes a...
In the present paper from Derevnin–Mednykh’s formula we obtain integral formulas for the volume of a...
International audienceGiven a vector a ∈ Rn , we provide an alternative and direct proof for the for...
Abstract. Integral foliated simplicial volume is a version of simplicial volume combining the rigidi...
In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with mm2...