Fractional Laplacian in Conformal Geometry
Sun-Yung Alice Chang, Maria del Mar Gonzalez
TL;DR
This paper explores the relationship between the fractional Laplacian operator and conformally covariant operators within conformal geometry, highlighting their mathematical connection.
Contribution
It establishes a link between the fractional Laplacian and conformally covariant operators, advancing understanding in conformal geometry.
Findings
Identifies the connection between fractional Laplacian and conformally covariant operators
Provides a mathematical framework linking these operators in conformal geometry
Enhances theoretical understanding of conformal invariants
Abstract
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Analytic and geometric function theory · Advanced Harmonic Analysis Research