Cover Image

A note on starshaped sets in 2-dimensional manifolds without conjugate points

Let W n be C ∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that n=2 and S⊂W 2 is starshaped where ker S≠S. For every point x∈S∖ ker S, define A(x)={y:y lies on some geodesic segment inf S form x to a point of ker S}. There is a finite collection A o...

Full description

Saved in:
Bibliographic Details
Main Authors: Kilicman, Adem, Saleh, Wedad
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf
http://psasir.upm.edu.my/id/eprint/36210/
http://www.hindawi.com/journals/jfs/2014/675735/abs/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.36210
record_format eprints
spelling my.upm.eprints.362102015-09-18T00:25:20Z http://psasir.upm.edu.my/id/eprint/36210/ A note on starshaped sets in 2-dimensional manifolds without conjugate points Kilicman, Adem Saleh, Wedad Let W n be C ∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that n=2 and S⊂W 2 is starshaped where ker S≠S. For every point x∈S∖ ker S, define A(x)={y:y lies on some geodesic segment inf S form x to a point of ker S}. There is a finite collection A of all maximal A sets whose union is S. Further, ker S=∩{A:AinA}. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf Kilicman, Adem and Saleh, Wedad (2014) A note on starshaped sets in 2-dimensional manifolds without conjugate points. Journal of Function Spaces, 2014. art. no. 675735. pp. 1-3. ISSN 2314-8896; ESSN: 2314-8888 http://www.hindawi.com/journals/jfs/2014/675735/abs/ 10.1155/2014/675735
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Let W n be C ∞ complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that n=2 and S⊂W 2 is starshaped where ker S≠S. For every point x∈S∖ ker S, define A(x)={y:y lies on some geodesic segment inf S form x to a point of ker S}. There is a finite collection A of all maximal A sets whose union is S. Further, ker S=∩{A:AinA}.
format Article
author Kilicman, Adem
Saleh, Wedad
spellingShingle Kilicman, Adem
Saleh, Wedad
A note on starshaped sets in 2-dimensional manifolds without conjugate points
author_facet Kilicman, Adem
Saleh, Wedad
author_sort Kilicman, Adem
title A note on starshaped sets in 2-dimensional manifolds without conjugate points
title_short A note on starshaped sets in 2-dimensional manifolds without conjugate points
title_full A note on starshaped sets in 2-dimensional manifolds without conjugate points
title_fullStr A note on starshaped sets in 2-dimensional manifolds without conjugate points
title_full_unstemmed A note on starshaped sets in 2-dimensional manifolds without conjugate points
title_sort note on starshaped sets in 2-dimensional manifolds without conjugate points
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf
http://psasir.upm.edu.my/id/eprint/36210/
http://www.hindawi.com/journals/jfs/2014/675735/abs/
_version_ 1643831680273743872
score 13.18916

Similar Items