The Normal Form Theorem around Poisson Transversals

We prove a normal form theorem for Poisson structures around Poisson transversals (also called cosymplectic submanifolds), which simultaneously generalizes Weinstein's symplectic neighborhood theorem from symplectic geometry and Weinstein's splitting theorem. Our approach turns out to be essentially canonical, and as a byproduct, we obtain an equivariant version of the latter theorem.Comment: 15 pages; v2: the title was changed; v3: proof of Lemma 2 was include

Morita Invariance of Intrinsic Characteristic Classes of Lie Algebroids

In this note, we prove that intrinsic characteristic classes of Lie algebroids - which in degree one recover the modular class - behave functorially with respect to arbitrary transverse maps, and in particular are weak Morita invariants. In the modular case, this result appeared in [Kosmann-Schwarzbach Y., Laurent-Gengoux C., Weinstein A., Transform. Groups 13 (2008), 727-755], and with a connectivity assumption which we here show to be unnecessary, it appeared in [Crainic M., Comment. Math. Helv. 78 (2003), 681-721] and [Ginzburg V.L., J. Symplectic Geom. 1 (2001), 121-169]

Large Amplitude Photocurrent In Photo-emf Experiments In Pure And Doped Absorbing Photorefractive Crystals

We report a mathematical formulation that successfully describes the holographic photocurrent produced in photo-emf experiments, with large oscillation amplitudes, in strongly absorbing photorefractive materials. The large amplitude produces a sensible enhancement of the photocurrent signal and in this way facilitates measurements. Accounting for bulk light absorption of the sample is essential in order to adequately describe the experiment. We measure pure and doped photorefractive Bi12TiO20 (BTO) crystals and show that these data are in excellent agreemnt with theory. From data fitting we are able to determine some material's parameters.4829 II953954Trofimov, G.S., Stepanov, S.I., (1986) Sov. Phys. Solid State, 28, pp. 1559-1562Petrov, M.P., Sokolov, I.A., Stepanov, S.I., Trofimov, G.S., (1990) J. Appl. Phys., 68, pp. 2216-2225Bittner, R., Meerholz, K., Stepanov, S., (1999) Appl. Phys. Lett., 74, pp. 3723-3725Korneev, N.A., Stepanov, S., (1993) J. Appl. Phys., 74, pp. 2736-2741Bryushinin, M.A., Dubrovsky, G.B., Sokolov, L.A., (1999) Appl. Phys. B, 68, pp. 871-87