Essays about: "noncommutative"

Found 2 essays containing the word noncommutative.

1. 1. The noncommutative torus as a minimal submanifold of the noncommutative 3-sphere

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Axel Tiger Norkvist; [2018]
   Keywords : Noncommutative Geometry; Real Calculus Homomorphism; Minimal Embedding; Noncommutative Torus; Noncommutative 3-sphere;

   Abstract : In this thesis an algebraic structure, called real calculus, is used as a way to represent noncommutative manifolds in an algebraic setting. Several classical geometric concepts are defined for real calculi, such as metrics and affine connections, and real calculus homomorphisms are introduced. READ MORE

3. 2. A Noncommutative Catenoid

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Christoffer Holm; [2017]
   Keywords : noncommutative; catenoid; noncommutative geometry; diamond lemma; noncommutative algebra; ore condition;

   Abstract : Noncommutative geometry generalizes many geometric results from such fields as differential geometry and algebraic geometry to a context where commutativity cannot be assumed. Unfortunately there are few concrete non-trivial examples of noncommutative objects. READ MORE