ar X iv : 0 81 2 . 29 41 v 1 [ m at h . G T ] 1 5 D ec 2 00 8 ENTROPY VS VOLUME FOR PSEUDO - ANOSOV MAPS

ar X iv : 0 81 2 . 26 05 v 1 [ m at h . D G ] 1 4 D ec 2 00 8 Generalized ( κ , μ ) - space forms

Generalized (κ, μ)-space forms are introduced and studied. We deeply study the contact metric case and present examples for all possible dimensions. We also analyze the trans-Sasakian case. 2000 Mathematics Subject Classification: 53C25, 53D15.

ar X iv : 0 81 2 . 38 70 v 1 [ m at h . R T ] 1 9 D ec 2 00 8 DEPTH ZERO REPRESENTATIONS OF NONLINEAR COVERS OF p - ADIC GROUPS

We generalize the methods of Moy-Prasad, in order to define and study the genuine depth zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth zero supercuspidal representations of the metaplectic group Mp2n over a p-adic field of odd residue characteristic.

ar X iv : 0 81 1 . 41 07 v 1 [ m at h . C V ] 2 5 N ov 2 00 8 BILINEAR FORMS ON THE DIRICHLET SPACE

2000 Mathematics Subject Classification. 31C25, 47B35, 30C85. N.A.’s work partially supported by the COFIN project Analisi Armonica, funded by the Italian Minister for Research. R.R.’s work supported by the National Science Foundation under Grant No. 0070642. E.S.’s work supported by the National Science and Engineering Council of Canada. B.D.W.’s work supported by the National Science Foundati...

ar X iv : m at h - ph / 0 41 10 85 v 6 2 0 D ec 2 00 4 An Ambiguous Statement Called ‘ Tetrad Postulate ’ and the Correct Field Equations

ar X iv : 0 70 8 . 43 10 v 5 [ m at h . A T ] 1 1 D ec 2 00 7 Z 2 ACTIONS ON 3 - CELL COMPLEXES

In this paper, we study Z2 actions on a 3-cell complex X having its cohomology ring isomorphic to that of the wedge sum P (n) ∨ S or S ∨ S ∨ S . We determine the possible fixed point sets depending on whether or not X is totally non-homologous to zero in XZ2 and give examples of all possible cases.