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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36210/ http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf |
| _version_ | 1848848268357795840 |
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| author | Kilicman, Adem Saleh, Wedad |
| author_facet | Kilicman, Adem Saleh, Wedad |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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}. |
| first_indexed | 2025-11-15T09:31:48Z |
| format | Article |
| id | upm-36210 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:48Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Kilicman, Adem Saleh, Wedad A note on starshaped sets in 2-dimensional manifolds without conjugate points |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/36210/ http://psasir.upm.edu.my/id/eprint/36210/ http://psasir.upm.edu.my/id/eprint/36210/ http://psasir.upm.edu.my/id/eprint/36210/1/A%20note%20on%20starshaped%20sets%20in%202.pdf |