On 3-Dimensional contact metric manifolds
広島大学総合科学部紀要. IV, 理系編 Volume 28
Page 29-33
published_at 2002-12
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| File | |
| Title ( eng ) |
On 3-Dimensional contact metric manifolds
|
| Creator |
Kim Byung Hak
Choi Jin Hyuk
|
| Contributors | 国立情報学研究所 |
| Source Title |
広島大学総合科学部紀要. IV, 理系編
Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
|
| Volume | 28 |
| Start Page | 29 |
| End Page | 33 |
| Abstract |
Let M be a 3-dimensional almost contact metric manifold satisfying (*)-condition. We denote such amanifold by M*. We prove that if M* is -Einstein, then M* is either Sasakian or cosymplectic manifold, andis a space of constant curvature. Consequently M* is either flat or isometric to the 3-dimensional unit sphereif M* is complete and simply connected.
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| Keywords |
Conformal curvature tensor
almost contact metric manifold
space of constant curvature
|
| NDC |
Mathematics [ 410 ]
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| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
広島大学総合科学部
|
| Date of Issued | 2002-12 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 1340-8364
[NCID] AN10435936
|
