Calculation of the free energy in a simple model
Cayley transform, outer exponential and spinor norm
Cells of harmonicity
[For the entire collection see Zbl 0742.00067.]We are interested in partial differential equations on domains in . One of the most natural questions is that of analytic continuation of solutions and domains of holomorphy. Our aim is to describe the domains of holomorphy for solutions of the complex Laplace and Dirac equations. We call them cells of harmonicity. We deduce their properties mostly by examining geometrical properties of the characteristic surface (which is the same for both equations),...
Characteristic classes for -bundles
The authors generalize a construction of Connes by defining for an -bundle over smooth manifold and a reduced cyclic cohomology class a sequence of de Rham cohomology classes . Here is a convenient algebra, defined by the authors, and is a locally trivial bundle with standard fibre a right finitely generated projective -module and bounded -modules homomorphisms as transition functions.
Characterization of one type of multisymplectic 3-forms in odd dimensions
Characters of the irreducible highest weight modules over the virasoro and super-virasoro algebras
Choquet simplices and Harnack inequalities
Circular vectors and toroidal matrices
Summary: Arrays of numbers may be written not only on a line (= ``a vector'') or in the plain (= ``a matrix'') but also on a circle (= ``a circular vector''), on a torus (= ``a toroidal matrix'') etc. In the latter case, the immanent index-rotation ambiguity converts the standard ``scalar'' product into a binary operation with several interesting properties.
Classification of endomorphisms of some Lie algebroids up to homotopy and the fundamental group of a Lie algebroid
Classification of -homomorphisms between higher symplectic spinors
Clifford algebra with Reduce
Clifford approach to metric manifolds
[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis satisfying the condition , where denotes the unit scalar of the algebra and () the nonsingular Minkowski...
Coherence constraints for operads, categories and algebras
Cohomology and connection on -bundles
Complex cohomology automorphisms of compact homogeneous spaces of positive Euler characteristic
Complex methods in real integral geometry
This is an exposition of a general machinery developed by M. G. Eastwood, T. N. Bailey, C. R. Graham which analyses some real integral transforms using complex methods. The machinery deals with double fibrations complex manifold; totally real, real-analytic submanifold;...
Conference on Geometry and Mathematical Physics, Bulgaria, Zlatograd, 28.08-01.09.2005
List of ParticipantsOrganizing committee: Vasil Tsanov – Sofia University (Chairman), Harry Aleksiev – High School for Management and Laguages in Zlatograd (Local Organizer), Leon Farhy – Sofia University (Scientific Secretary), Emil Horozov – Sofia University, Ivailo Mladenov – Bulgarian Academy of Sciences, Angel Zhivkov – Sofia University.
Conformal de Rham Hodge theory and operators generalising the -curvature
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds
Conformal invariant wave equations for spin zero and spin fields on de Sitter space