Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 2: Clifford A John Ryan,Wolfgang Spr??ig Book 2000 Springer Scienc

結構

恫嚇

Complex-Distance Potential Theory and Hyperbolic Equationsial is generated by an extended source distribution . in ?. whose restriction to ?. is the point source δ(.). This provides a possible model for extended particles in physics. In ?., interpreted as complex ., b acts as a . generating solutions of the wave equation from their initial values. This giv

耐寒

Specific Representations for Members of the Holonomy Groupes with metrics of arbitrary signatures. In particular, we derive expressions for those isometry operators which correspond to coordinate parallelograms that can be continuously shrunk to zero. The isometry operators are expressed in terms of infinite series which are defined by two recursion relati

SLAG

The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physicsodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.

GNAW

心胸開闊

On the Radial Part of the Cauchy-Riemann Operatorector functions . = .( .., .) + .( .) .( .., .), where . and . are real-valued. The equation . splits into two parts. One of them depends only on x.,.. This leads to a system of partial differential equations which coincides with the system defining hypermonogenic functions. These functions arise fo

blister

木質

Samantha Champagnie,Janis L. Goganow that it vanishes exactly for M?bius transformations. The situation is simplest for non-singular transformations of the Euclidean space although the framework can be applied, with as light modification, to maps as general as immersions between any Riemannian manifolds.

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Parley