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Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Analytic torsion Reidemeister torsion hyperbolic 3-manifolds cusps Spectral Theory
2012/6/14
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of ...
Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion
Vanishing theorems (l|k)-strong Kaehler manifolds torsion
2012/3/1
We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\omega^l\wedge \partial\bar\partial \omega^k=0$, Kaehler manifolds with torsion. In particula...
On the characteristic torsion of gwistor space
Einstein metric gwistor space characteristic torsion G2 structure
2011/9/21
Abstract: We give a presentation of gwistor space. Then we compute the characteristic torsion T^ch of the G_2-twistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and...