Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps     Analytic torsion  Reidemeister torsion  hyperbolic 3-manifolds  cusps  Spectral Theory       font style='font-size:12px;'> 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 ...

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Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion     Vanishing theorems  (l|k)-strong Kaehler  manifolds  torsion       font style='font-size:12px;'> 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...

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On the characteristic torsion of gwistor space     Einstein metric  gwistor space  characteristic torsion  G2 structure       font style='font-size:12px;'> 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...

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