On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton
The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding, shrinking or steady cases.
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2019-11-01
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| Series: | Memoirs of the Scientific Sections of the Romanian Academy |
| Subjects: | |
| Online Access: | http://mss.academiaromana-is.ro/mem_sc_st_2019/6_Meric%20MSS%202019.pdf |
| _version_ | 1818150306384445440 |
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| author | Semsi Eken Meric Erol Kilic |
| author_facet | Semsi Eken Meric Erol Kilic |
| author_sort | Semsi Eken Meric |
| collection | DOAJ |
| description | The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding, shrinking or steady cases. |
| first_indexed | 2024-12-11T13:20:50Z |
| format | Article |
| id | doaj.art-dc95496a6ccd482d974785910b7108b9 |
| institution | Directory Open Access Journal |
| issn | 1224-1407 2343-7049 |
| language | English |
| last_indexed | 2024-12-11T13:20:50Z |
| publishDate | 2019-11-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Memoirs of the Scientific Sections of the Romanian Academy |
| spelling | doaj.art-dc95496a6ccd482d974785910b7108b92022-12-22T01:05:51ZengPublishing House of the Romanian AcademyMemoirs of the Scientific Sections of the Romanian Academy1224-14072343-70492019-11-01XLII5966On Submanifolds of Riemannian Manifolds Admitting a Ricci SolitonSemsi Eken Meric0Erol Kilic1Mersin University, Department of Mathematics, Mersin, Turkeyİnönü University, Department of Mathematics, Malatya, TurkeyThe aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding, shrinking or steady cases.http://mss.academiaromana-is.ro/mem_sc_st_2019/6_Meric%20MSS%202019.pdfricci solitonriemannian submanifoldcurvature |
| spellingShingle | Semsi Eken Meric Erol Kilic On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton Memoirs of the Scientific Sections of the Romanian Academy ricci soliton riemannian submanifold curvature |
| title | On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton |
| title_full | On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton |
| title_fullStr | On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton |
| title_full_unstemmed | On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton |
| title_short | On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton |
| title_sort | on submanifolds of riemannian manifolds admitting a ricci soliton |
| topic | ricci soliton riemannian submanifold curvature |
| url | http://mss.academiaromana-is.ro/mem_sc_st_2019/6_Meric%20MSS%202019.pdf |
| work_keys_str_mv | AT semsiekenmeric onsubmanifoldsofriemannianmanifoldsadmittingariccisoliton AT erolkilic onsubmanifoldsofriemannianmanifoldsadmittingariccisoliton |