Conformal transformation, conformal change, and conformal covariants
Conformally invariant wave equations in -de Sitter linear gravity
Conjugation in spinor spaces Majorana and Weyl spinors
Connection induced geometrical concepts
Summary: Geometrical concepts induced by a smooth mapping of manifolds with linear connections are introduced, especially the (higher order) covariant differentials of the mapping tangent to and the curvature of a corresponding tensor product connection. As an useful and physically meaningful consequence a basis of differential invariants for natural operators of such smooth mappings is obtained for metric connections. A relation to geometry of Riemannian manifolds is discussed.
Connection theory and parameter transformations
Connections for non-holonomic 3-webs
A non-holonomic 3-web is defined by two operators and such that is a projector, is involutory, and they are connected via the relation . The so-called parallelizing connection with respect to which the 3-web distributions are parallel is defined. Some simple properties of such connections are found.
Connections on higher order principal prolongations
Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.
Conservation of pseudo-norm in symmetric quantum mechanics
Constrained Hamiltonians: a homological approach
Continuity of the identity embedding of Musielak-Orlicz sequence spaces
Convexity in combinatorial structures
Correspondence between maximal ideals in associative algebras and Lie algebras
Crystallizing patterns of BGG sequences
Cyclic operads and homology of graph complexes
Deformations and the koherence
The cotangent cohomology of S. Lichtenbaum and M. Schlessinger [Trans. Am. Math. Soc. 128, 41-70 (1967; Zbl 0156.27201)] is known for its ability to control the deformation of the structure of a commutative algebra. Considering algebras in the wider sense to include coalgebras, bialgebras and similar algebraic structures such as the Drinfel’d algebras encountered in the theory of quantum groups, one can model such objects as models for an algebraic theory much in the sense of F. W. Lawvere [Proc....
Deformations of minimal surfaces of containing planar geodesics
Derivations on the Nijenhuis-Schouten bracket algebra
Derived algebra of the Frölicher-Nijenhuis bracket algebra
Differential geometry over the structure sheaf: a way to quantum physics
An idea for quantization by means of geometric observables is explained, which is a kind of the sheaf theoretical methods. First the formulation of differential geometry by using the structure sheaf is explained. The point of view to get interesting noncommutative observable algebras of geometric fields is introduced. The idea is to deform the algebra by suitable interaction structures. As an example of such structures the Poisson-structure is mentioned and this leads naturally to deformation...
Dirac operator in contact symplectic parabolic geometry