100th anniversary of birthday of Eduard Čech
A generalized Leibniz rule and foundation of a discrete quaternionic analysis
A high-order helicity invariant and the Rokhlin theorem
A problem about Feynman integrals on Riemannian manifolds
A quaternionic treatment of Navier-Stokes equations
Algebraic characterization of the dimension of differential spaces
All natural concomitants of vector valued differential forms
An application of principal bundles to coloring of graphs and hypergraphs
An interesting connection between the chromatic number of a graph and the connectivity of an associated simplicial complex , its “neighborhood complex”, was found by Lovász in 1978 (cf. L. Lovász [J. Comb. Theory, Ser. A 25, 319-324 (1978; Zbl 0418.05028)]). In 1986 a generalization to the chromatic number of a -uniform hypergraph , for an odd prime, using an associated simplicial complex , was found ([N. Alon, P. Frankl and L. Lovász, Trans. Am. Math. Soc. 298, 359-370 (1986; Zbl 0605.05033)],...
Blattner-Kostant-Sternberg pairing and Fourier transform on symmetric spaces
Cayley transform, outer exponential and spinor norm
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.
«Charles Ehresmann : 100 ans»
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.
Clifford algebra with Reduce
Cohomology and connection on -bundles
Complex cohomology automorphisms of compact homogeneous spaces of positive Euler characteristic
Conformal invariant wave equations for spin zero and spin fields on de Sitter space
Conformal transformation, conformal change, and conformal covariants
Conformally invariant wave equations in -de Sitter linear gravity
Connection theory and parameter transformations