On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let A Z ( R ) be the infinitesimal asymptotic Teichmüller space of a Riemann surface R of infinite type.
It is known that A Z ( R ) is the quotient Banach space of the infinitesimal Teichmüller space Z ( R ) , where Z ( R ) is the dual space of integrable quadratic differentials.
The purpose of this paper is to study the nonuniqueness of geodesic segment joining two points in A Z ( R ) .
We prove that there exist infinitely many geodesic segments between the basepoint and every nonsubstantial point in the universal infinitesimal asymptotic Teichmüller space A Z ( D ) by constructing a special degenerating sequence.
American Psychological Association (APA)
Wu, Yan& Qi, Yi& Fu, Zun Wei. 2015. On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068242
Modern Language Association (MLA)
Wu, Yan…[et al.]. On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068242
American Medical Association (AMA)
Wu, Yan& Qi, Yi& Fu, Zun Wei. On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068242
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068242