ar X iv : m at h / 99 01 07 5 v 1 [ m at h . A G ] 1 9 Ja n 19 99 ALGEBRAS OF CURVATURE FORMS ON HOMOGENEOUS MANIFOLDS

ar X iv : h ep - e x / 99 01 03 4 v 1 2 5 Ja n 19 99 Status of Salerno Laboratory ( Measurements in Nuclear Emulsion ) ∗

A report on the analysis work in the Salerno Emulsion Laboratory is presented. It is related to the search for ν µ → ν τ oscillations in CHORUS experiment, the calibrations in the WANF (West Area Neutrino Facility) at Cern and tests and preparation for new experiments.

ar X iv : h ep - p h / 99 05 24 9 v 5 1 2 Ja n 20 01 BI - TP 99 / 12 Two - loop self - energy master integrals on shell

Analytic results for the complete set of two-loop self-energy master integrals on shell with one mass are calculated.

ar X iv : m at h / 99 12 12 3 v 1 [ m at h . D G ] 1 5 D ec 1 99 9 CURVATURE , DIAMETER AND BOUNDED BETTI NUMBERS

ar X iv : m at h / 05 01 55 6 v 1 [ m at h . D G ] 3 1 Ja n 20 05 Geometric Algebras

This is the first paper in a series of three where we develope a systematic approach to the geometric algebras of multivectors and ex-tensors. The series is followed by another one where those algebraic concepts are used in a novel presentation of the differential geometry of (smooth) manifolds of arbitrary global topology. The key calcu-lational tool in our program is the euclidean geometrical...

ar X iv : m at h / 05 04 16 3 v 1 [ m at h . D G ] 8 A pr 2 00 5 AFFINE CURVATURE HOMOGENEOUS 3 - DIMENSIONAL LORENTZ MANIFOLDS

We study a family of 3-dimensional Lorentz manifolds. Some members of the family are 0-curvature homogeneous, 1-affine curvature homogeneous , but not 1-curvature homogeneous. Some are 1-curvature homogeneous but not 2-curvature homogeneous. All are 0-modeled on indecomposible local symmetric spaces. Some of the members of the family are geodesically complete, others are not. All have vanishing...