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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 , , n } satisfying the condition { e i , e j } 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...

Collared sets

Michael, E. (1962)

General Topology and its Relations to Modern Analysis and Algebra

Community Curation and Management of Mathematical Literature

Burns, John, Kerr, Nigel (2009)

Towards a Digital Mathematics Library. Grand Bend, Ontario, Canada, July 8-9th, 2009

JSTOR is one of the primary providers of scholarly mathematics texts, providing access to journals in mathematics and the sciences dating back to the mid 1600’s. There is now a critical mass of literature online and the task going forward is as much to provide tools to make it more accurate, more discoverable and more usable as it is to add more material. Often the tool building can be done by collaboration between information retrieval experts and practitioners in the field, irrespective of the...

Comparison of Dirac operators on manifolds with

Bunke, Ulrich (1993)

Proceedings of the Winter School "Geometry and Physics"

The author introduces boundary conditions for Dirac operators D giving selfadjoint extensions such that the Hamiltonians H = D 2 define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators e - t H associated to a pair of Dirac operators coinciding on cocompact sets.

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 Ω η Ω ˜ @ > τ > > X ( Ω complex manifold; M totally real, real-analytic submanifold;...

Computing upper bounds on Friedrichs’ constant

Vejchodský, Tomáš (2012)

Applications of Mathematics 2012

This contribution shows how to compute upper bounds of the optimal constant in Friedrichs’ and similar inequalities. The approach is based on the method of a p r i o r i - a p o s t e r i o r i i n e q u a l i t i e s [9]. However, this method requires trial and test functions with continuous second derivatives. We show how to avoid this requirement and how to compute the bounds on Friedrichs’ constant using standard finite element methods. This approach is quite general and allows variable coefficients and mixed boundary conditions. We use the computed...

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