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Cells of harmonicity

Kolář, Martin (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]We are interested in partial differential equations on domains in $𝒞^{n}$ . 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),...

Classification of endomorphisms of some Lie algebroids up to homotopy and the fundamental group of a Lie algebroid

Balcerzak, Bogdan (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

Clifford approach to metric manifolds

Chisholm, J. S. R., Farwell, R. S. (1991)

Proceedings of the Winter School "Geometry and Physics"

[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 ${e_{j} : j = 1, \dots, n}$ satisfying the condition ${e_{i}, e_{j}} \equiv e_{i} e_{j} = e_{j} e_{i} = 2 I η_{i j}$ , where $I$ denotes the unit scalar of the algebra and ( $η_{i j}$ ) the nonsingular Minkowski...

Coherence constraints for operads, categories and algebras

Markl, Martin, Shnider, Steve (2001)

Proceedings of the 20th Winter School "Geometry and Physics"

Complex methods in real integral geometry

Eastwood, Michael (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

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 $M \subset Ω \overset{η}{\to} \leftarrow \tilde{Ω} @ > τ > > X$ $(Ω$ complex manifold; $M$ totally real, real-analytic submanifold;...

Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds

Kobayashi, Toshiyuki (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

Conformal invariant wave equations for spin zero and spin $\frac{1}{2}$ fields on de Sitter space

Moylan, P. (1989)

Proceedings of the Winter School "Geometry and Physics"

Conformal transformation, conformal change, and conformal covariants

Branson, Thomas P. (1989)

Proceedings of the Winter School "Geometry and Physics"

Conformally invariant wave equations in $3 + 2$ -de Sitter linear gravity

Gazeau, J. P., Hans, M. (1989)

Proceedings of the Winter School "Geometry and Physics"

Connections for non-holonomic 3-webs

Vanžurová, Alena (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

A non-holonomic 3-web is defined by two operators $P$ and $B$ such that $P$ is a projector, $B$ is involutory, and they are connected via the relation $P B + B P = B$ . 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.

Correspondence between maximal ideals in associative algebras and Lie algebras

Vanžura, Jiří (1989)

Proceedings of the Winter School "Geometry and Physics"

Cyclic operads and homology of graph complexes

Markl, Martin (1999)

Proceedings of the 18th Winter School "Geometry and Physics"

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