Juhl type formulas for curved Ovsienko--Redou operators
Shane Chern, Zetian Yan
TL;DR
This paper establishes Juhl type formulas for curved Ovsienko--Redou operators, confirming conjectures about their self-adjointness and extending formulas for GJMS operators, advancing understanding in conformal geometry.
Contribution
It introduces Juhl type formulas for curved Ovsienko--Redou operators and their linear analogues, confirming key conjectures and extending existing formulas for GJMS operators.
Findings
Confirmed formal self-adjointness of the operators.
Proved Juhl type formulas for curved operators.
Extended Juhl's original formula for GJMS operators.
Abstract
We prove Juhl type formulas for the curved Ovsienko--Redou operators and their linear analogues, which indicate the associated formal self-adjointness, thereby confirming two conjectures of Case, Lin, and Yuan. We also offer an extension of Juhl's original formula for the GJMS operators.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematical Analysis and Transform Methods · advanced mathematical theories