GJMS operators and Q-curvature for conformal Codazzi structures

Taiji Marugame

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arXiv · 1602.02477

GJMS operators and Q-curvature for conformal Codazzi structures

Taiji Marugame

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Abstract

The conformal Codazzi structure is an intrinsic geometric structure on strictly convex hypersufaces in a locally flat projective manifold. We construct the GJMS operators and the Q-curvature for conformal Codazzi structures by using the ambient metric. We relate the total Q-curvature to the logarithmic coefficient in the volume expansion of the Blaschke metric, and derive the first and second variation formulas for a deformation of strictly convex domains.

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BibTeX RIS

Taiji Marugame. 2016-02-08. GJMS operators and Q-curvature for conformal Codazzi structures. https://arxiv.org/abs/1602.02477

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