Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds

We establish results on holomorphic extension of CR-mappings of class $C^\infty$ between a real-analytic CR-submanifold of \C^N and a real-algebraic CR-submanifold of \C^{N'}

Detectability of f-mode Unstable Neutron Stars by the Schenberg Spherical Antenna

The Brazilian spherical antenna (Schenberg) is planned to detect high frequency gravitational waves (GWs) ranging from 3.0 kHz to 3.4 kHz. There is a host of astrophysical sources capable of being detected by the Brazilian antenna, namely: core collapse in supernova events; (proto)neutron stars undergoing hydrodynamical instability; f-mode unstable neutron stars, caused by quakes and oscillations; excitation of the first quadrupole normal mode of 4-9 solar mass black holes; coalescence of neutron stars and/or black holes; exotic sources such as bosonic or strange matter stars rotating at 1.6 kHz; and inspiralling of mini black hole binaries. We here address our study in particular to the neutron stars, which could well become f-mode unstable producing therefore GWs. We estimate, for this particular source of GWs, the event rates that in principle can be detected by Schenberg and by the Dutch Mini-Grail antenna.Comment: 7 pages, 3 figures; Classical and Quantum Gravity (in press

Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS

The holographic complexity and fidelity susceptibility have been defined as new quantities dual to different volumes in AdS. In this paper, we will use these new proposals to calculate both of these quantities for a variety of interesting deformations of AdS. We obtain the holographic complexity and fidelity susceptibility for an AdS black hole, Janus solution and a solution with cylindrically symmetry, an inhomogeneous background and a hyperscaling violating background. It is observed that the holographic complexity depends on the size of the subsystem for all these solutions and the fidelity susceptibility does not have any such dependence.Comment: Slighly updated version. Accepted for publication in Phys. Letters

On the existence of chaotic circumferential waves in spinning disks

We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points respectively lead to a random reversal in the traveling direction of circumferential waves and a random phase shift of magnitude $\pi$ for both forward and backward wave components. These long-term phenomena occur in imperfect low-speed disks sufficiently far from fundamental resonances.Comment: 8 pages, 5 figures, to appear in CHAOS (Volume 17, Issue 2, June 2007

Correction of neglected post-burn severe calcaneo-valgus deformity of foot with Joshi’s external stabilization system: a one stage surgical procedure

Post burn calcaneovalgus is a complex foot deformity and management becomes increasingly difficult especially if deformity is neglected in growing young child resulting in secondary bony deformity. A simple technique of single stage surgical correction with Joshi’s external stabilization system (JESS) is described using principle of distraction osteogenesis or histogenesis without need of extensive plastic surgical procedure. A functional plantigrade foot is achieved after completion of the procedure without need of any bony procedure and least chances of any neurovascular compromise. JESS is a versatile external fixation device for correction of neglected postburn complex calcaneovalgus deformity

Comparison of Composition and Degradation Characteristics of Early Bloom Alfalfa with Fenugreek (Trigonella Foenum-Graecum) Forages Harvested at Different Stages of Maturity

The objective of this study was to compare the composition and degradation characteristics of early bloom alfalfa and fenugreek harvested after 9, 15 and 17 wk of growth. Crude protein (CP) content of fenugreek cut at 9, 15 and 17 wk was lower (P\u3c0.05) than that of alfalfa. Neutral detergent fibre (NDF) and lignin content of fenugreek harvested after 15 and 17 wk were higher (P\u3c0.05) than that of alfalfa. Ash content was lower (P\u3c0.05) in fenugreek than for alfalfa. In vitro dry matter disappearance (IVDMD) of fenugreek cut at 15 and 17 wk was similar to that of alfalfa. Total in vitro gas production of fenugreek cut at the three stages of growth was not significantly different from those observed for alfalfa. Results indicate that chemical composition and IVDMD of fenugreek at all stages of maturity were comparable to that of early bloom alfalfa