Citation
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
Abstract
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}.
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Additional Metadata
Item Type: | Article |
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Divisions: | Faculty of Science Institute for Mathematical Research |
DOI Number: | https://doi.org/10.1155/2014/675735 |
Publisher: | Hindawi Publishing Corporation |
Keywords: | Starshaped; 2-dimensional manifolds without conjugate points |
Depositing User: | Nabilah Mustapa |
Date Deposited: | 13 Jun 2015 06:42 |
Last Modified: | 18 Sep 2015 00:25 |
Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/675735 |
URI: | http://psasir.upm.edu.my/id/eprint/36210 |
Statistic Details: | View Download Statistic |
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