Q-prime curvature on CR manifolds

By K. Hirachi. 2013

56 citations recorded by the source corpus.

Abstract Q -prime curvature, which was introduced by J. Case and P. Yang, is a local invariant of pseudo-hermitian structure on CR manifolds that can be defined only when the Q -curvature vanishes identically. It is considered as a secondary invariant on CR manifolds and, in 3-dimensions, its integral agrees with the Burns–Epstein invariant, a Chern–Simons type invariant in CR geometry. We give an ambient metric construction of the Q -prime curvature and study its basic properties. In particular, we show that, for the boundary of a strictly pseudoconvex domain in a Stein manifold, the integral of the Q -prime curvature is a global CR invariant, which generalizes the Burns–Epstein invariant to higher dimensions.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/57a689bb975eb14a560defd00edb7502f2b5a0ed

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In Applied Mathematics

1. Jinggang Tan
2. Mar'ia de Mar Gonz'alez
3. D. Monticelli
4. Rupert L. Frank
5. M. Fall
6. Enrico Valdinoci
7. Raffaella Servadei
8. Giovanni Molica Bisci

In Geometry and Topology

1. Mar'ia de Mar Gonz'alez
2. Rupert L. Frank
3. D. Monticelli
4. Jinggang Tan

Citations in the corpus

• An extension problem for the CR fractional Laplacian (2013, methodology): “Recently, [44] (see also [12]) has constructed new GJMS operators P ′ k using the original [37] ambient metric construction.”