|
This article is available for purchase or by subscription. See below.
Abstract
|
|
On asymptotically complex hyperbolic (ACH) Einstein manifolds, we consider a
certain variational problem for almost complex structures compatible
with the metric, for which the linearized Euler–Lagrange equation at
Kähler–Einstein structures is given by the Dolbeault Laplacian acting on
-forms
with values in the holomorphic tangent bundle. A deformation result of Einstein
ACH metrics associated with critical almost complex structures for this
variational problem is given. It is also shown that the asymptotic expansion of a
critical almost complex structure is determined by the induced (possibly
nonintegrable) CR structure on the boundary at infinity up to a certain
order.
|
PDF Access Denied
We have not been able to recognize your IP address
44.220.181.180
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
asymptotically complex hyperbolic spaces, almost CR
structures
|
Mathematical Subject Classification
Primary: 53C15
Secondary: 32T15, 32V15, 53B35, 53C25
|
Milestones
Received: 14 April 2020
Revised: 6 May 2021
Accepted: 24 July 2021
Published: 10 November 2021
|
|
