Results 81 to 90 of about 1,108,506 (294)
Examples of noncommutative manifolds: complex tori and spherical manifolds
, 2007 We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
core +2 more sources
Automorphism groupoids in noncommutative projective geometry [PDF]
, 2018 We address a natural question in noncommutative geometry, namely the rigidity observed in many examples, whereby noncommutative spaces (or equivalently their coordinate algebras) have very few automorphisms by comparison with their commutative ...
Cooney, Nicholas, Grabowski, Jan E.
core +3 more sources
Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley +1 more source
On a noncommutative algebraic geometry [PDF]
Banach Center Publications, 2015 Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.
openaire +3 more sources
Geometry of Quantum Projective Spaces [PDF]
, 2012 In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex noncommutative spaces.
D'Andrea, Francesco, Landi, Giovanni
core +1 more source
Fortschritte der Physik, EarlyView.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Dirac Operators on Noncommutative Curved Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy ...
Alexander Schenkel +1 more
doaj +1 more source
Noncommutative Generalization of Wilson Lines
, 2014 A classical Wilson line is a cooresponedce between closed paths and elemets of a gauge group. However the noncommutative geometry does not have closed paths.
Ivankov, Petr
core +1 more source
Twists of twisted generalized Weyl algebras
Bulletin of the London Mathematical Society, EarlyView.Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley +1 more source
Noncommutative Geometry and the Standard Model [PDF]
International Journal of Modern Physics A, 2005 Connes' noncommutative approach to the standard model of electromagnetic, weak and strong forces is sketched as well as its unification with general relativity.
Thomas Schucker, Thomas Schucker
openaire +6 more sources