5 N ov 2 00 5 Center singualities of hlomorphic vector fields
نویسندگان
چکیده
We first extend a classical iteration formula of holomorphic functions to higher dimensional holomorphic mappings. Then as an application, we prove Poincare’s center theorem about the condition under which a singularity of a holomorphic vector field is an isochronous center. 1. An iteration formula Let f be a holomorphic function germ at the origin 0 in the complex plane with the Taylor expansion
منابع مشابه
/ 01 06 20 0 v 3 2 9 N ov 2 00 2 Cubic Interactions of Bosonic Higher Spin Gauge Fields in AdS
The dynamics of totally symmetric free massless higher spin fields in AdS d is reformulated in terms of the compensator formalism for AdS gravity. The AdS 5 higher spin algebra is identified with the star product algebra with the su(2, 2) vector (i.e., o(4, 2) spinor) generating elements. Cubic interactions of the totally symmetric bosonic higher spin gauge fields in AdS 5 , including the inter...
متن کاملN ov 2 00 5 About nonlinear geometric optics
We give an idea of the evolution of mathematical nonlinear geometric optics from its foundation by Lax in 1957, and present applications in various fields of mathematics and physics.
متن کاملVector Magnetic Fields and Electric Currents from the Imaging Vector Magnetograph
First, we describe a general procedure to produce high quality vector magnetograms using the Imaging Vector Magnetograph (IVM) at Mees Solar Observatory. Two IVM effects are newly discussed and taken into account: (1) the central wavelength of the Fabry-Pérot is found to drift with time as a result of undiagnosed thermal or mechanical instabilities in the instrument; (2) the Stokes V -sign conv...
متن کاملar X iv : h ep - t h / 05 11 04 8 v 1 4 N ov 2 00 5 Zero - point energy in spheroidal geometries
We study the zero-point energy of a massless scalar field subject to spheroidal boundary conditions. Using the zeta-function method, the zero-point energy is evaluated for small ellipticity. Axially symmetric vector fields are also considered. The results are interpreted within the context of QCD flux tubes and the MIT bag model.
متن کاملar X iv : g r - qc / 0 41 10 66 v 1 1 4 N ov 2 00 4 5 - dimensional Brans - Dicke Theory and Cosmic Acceleration
We consider a 5-dimensional scalar-tensor theory which is a direct generalization of the original 4-dimensional Brans-Dicke theory to 5-dimensions. By assuming that there is a hypersurface-orthogonal spacelike Killing vector field in the underlying 5-dimensional spacetime, the theory is reduced to a 4-dimensional theory where the 4-metric is coupled with two scalar fields. The cosmological impl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005