Conformal symmetries in geometry and harmonic analysis
Bent {\O}rsted
TL;DR
This paper introduces conformal symmetry, illustrating its role in differential geometry and representation theory through the example of the Yamabe operator, highlighting its significance in understanding geometric and algebraic structures.
Contribution
It provides an accessible introduction to conformal symmetry, connecting geometric and algebraic perspectives with specific focus on the Yamabe operator.
Findings
Conformal symmetry links geometry and representation theory.
The Yamabe operator exemplifies conformal invariance.
Conformal methods have broad applications in geometry and analysis.
Abstract
In this essay we give an introduction to conformal symmetry, based on the example of the Yamabe operator and its use in conformal differential geometry, and in representation theory.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic and Geometric Analysis · Geometric and Algebraic Topology