This article is available for purchase or by subscription. See below.
Abstract
|
Our aim is to prove the following result concerning moduli of curve families in the Heisenberg
group. Let
be a domain in the Heisenberg group foliated by a family
of legendrian curves. Assume that there is a quadratic differential
on
such that every curve
in
is a horizontal
trajectory for . Let
][
be the function that associates to a point
the
-length of the leaf
containing
. Then,
the modulus of
is
|
PDF Access Denied
We have not been able to recognize your IP address
44.192.53.34
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
quadratic differentials, moduli of curve families,
Legendrian foliations, Heisenberg group, spherical CR
manifolds
|
Mathematical Subject Classification
Primary: 32G07, 32V05
|
Milestones
Received: 4 February 2021
Revised: 12 July 2021
Accepted: 16 July 2021
Published: 15 October 2021
|
|