Natural Intrinsic Geometrical Symmetries
نویسندگان
چکیده
A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneous and isotropic, or, still, the spaces which satisfy the axiom of free mobility.
منابع مشابه
Impact Analysis of Variation in Geometrical Features on Intrinsic Characteristics of Capacitive Micro-machined Ultrasonic Transducers
Capacitive Micro-machined Ultrasonic Transducers (CMUTs) are the ultrasonic devices which produce better features in contrast to piezoelectric transducers. The intrinsic parameter of CMUT varies with the variation in geometrical dimension of the device. The cavity height and the radius of the CMUT with circular membrane is varied in the lumped parallel plate model for its impact on the paramete...
متن کاملSpace-Time Structure of Weak and Electromagnetic Interactions
It has often been suggested that observed symmetries among elementary particles may well reflect symmetries of some fundamental dynamical equation or system of equations. The suggestion has gained credence with the recent successes of gauge theories, the WeinbergSalam (W-S) model in particular. However, in current theories no definite connection has yet been established between the so-called in...
متن کاملTriaxiality in the Bohr Mottelson model: solutions, symmetries and applications in Os isotopes
Recent years, the geometrical Bohr-Mottelson description of the collective behaviour of atomic nuclei [1] has witnessed renewed interest. This is mainly due to the discovery of analytically solvable potentials [2], intended as an approximative description of the critical points in phase shape transitions throughout the nuclear chart. The geometrical model treats the nucleus as a vibrating and r...
متن کاملRole of statistical symmetries in sensory coding: an optimal scale invariant code for vision.
The visual system is the most studied sensory pathway, which is partly because visual stimuli have rather intuitive properties. There are reasons to think that the underlying principle ruling coding, however, is the same for vision and any other type of sensory signal, namely the code has to satisfy some notion of optimality--understood as minimum redundancy or as maximum transmitted informatio...
متن کاملGeometry on the Utility Space
We study the geometrical properties of the utility space (the space of expected utilities over a finite set of options), which is commonly used to model the preferences of an agent in a situation of uncertainty. We focus on the case where the model is neutral with respect to the available options, i.e. treats them, a priori, as being symmetrical from one another. Specifically, we prove that the...
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 2009