On the second Paneitz-Branson invariant
Mohammed Benalili, Hichem Boughazi
TL;DR
This paper introduces the second Paneitz-Branson operator on compact Einsteinian manifolds of dimension five or higher and provides conditions under which its associated invariant is achieved.
Contribution
It defines the second Paneitz-Branson operator on Einsteinian manifolds and establishes sufficient conditions for the attainment of its invariant.
Findings
Defined the second Paneitz-Branson operator on Einsteinian manifolds
Provided sufficient conditions for the invariant to be attained
Extended understanding of conformal invariants in higher dimensions
Abstract
We define the second Paneitz-Branson operator on a compact Einsteinian manifold of dimension and we give sufficient conditions that make it attained.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Geometry and complex manifolds