In this paper we prove that Trefoil knot cone manifold T (α) with cone angle α is spherical for π/3 < α < 5π/3. We show also that its spherical volume is given by the formula Vol(T (α)) = (3α − π)2 /12.
Derevnin, D., Mednykh, A., Mulazzani, M. (2014). GEOMETRY OF TREFOIL CONE – MANIFOLD. ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EOTVOS NOMINATAE. SECTIO MATHEMATICA, 57, 3-14.
GEOMETRY OF TREFOIL CONE – MANIFOLD
MULAZZANI, MICHELE
2014
Abstract
In this paper we prove that Trefoil knot cone manifold T (α) with cone angle α is spherical for π/3 < α < 5π/3. We show also that its spherical volume is given by the formula Vol(T (α)) = (3α − π)2 /12.File in questo prodotto:
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