Vestnik On-line
Orenburg State University november 20, 2024   RU/EN
Headings of Vestnik
Pedagogics
Psychology
Other

Search
Vak
Антиплагиат
Orcid
Viniti
ЭБС Лань
Rsl
Лицензия Creative Commons

2013, № 12 (161)



Kharitonova S.V. CURVATURE CONHARMONIC TENSOR OF NORMAL LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLDSWe compute the components of the conharmonic curvature tensor of a normal locally conformally almost cosymplectic manifold (an lcACS-) structure. Necessary and sufficient conditions for a normal lcACS-manifold to coincide with the conharmonic plane are found. Allocated to the classes of almost contact structures on the properties of symmetry for tensor conharmonic curvature.Key words: almost contact structures, conformal transformations, curvature tensor conharmonic.

Download
References:

1. Kirichenko, V. F. Differential-Geometric Structures on Manifolds [Text] / V.F.Kirichenko. — M.: MSPU. — 2003. — 495p. [in Russian].

2. Olszak, Z. Locally conformal almost cosymplectic manifolds [Text] / Z.Olszak // Colloq. math. — 1989. — Vol.57. — N1. — P.73-87. 186

3. Yoon, D.W. Some inequalities for warped products in locally conformal almost cosymplectic manifolds [Text] / D.W.Yoon, K.S.Cho, S.G.Han // Note di Matematica. — 2004. — Vol.23. — n.1. — P.51-60.

4. Calapso, M.T. Pfaffian transformations [Text] / M.T.Calapso, F.Defever, R.Rosca // Studia Univ. "BABES.–BOLYAI". Mathematica. — 2006. — Vol. LI. — N.2. — P.29-38.

5. Matsumoto K, Mihai I and Rosca R, A certain locally conformal almost cosymplectic manifold and its submanifolds, Tensor (N. S.) 51 (1) (1992) 91–102.

6. Ishii, Y. On conharmonic transformations [Text] // Tensor. — 1957. — Vol. 7. no. 2. — P. 73—80.

7. Kharitonova, S. V. The tensor of twisting the first canonical connectedness locally of conformally almost cosimplect varieties [Text] / S. V. Kharitonova // Vestnik OSU. — 2010. — No. 9. — P.69-73.

8. Kirichenko, V. F. On the geometry of normal locally conformal almost cosymplectic manifolds [Text] / V. F. Kirichenko, S. V. Kharitonova // Matematicheskie Zametki. — 2012. — Vol. 91. — No. 1. — P. 40-53.

9. Shikhab, A.A. Approximately kahler manifold of constant holomorphic conharmonic curvature [Text] / A.A. Shikhab // Vestnik OSU. — 2012. — No. 1. — P.158-163.

10. Kirichenko, V. F. On the geometry of conharmonic curvature tensor for nearly Kдhler manifolds [Text] / V. F. Kirichenko, A. A. Shihab // Fundamentalnaya i Prikladnaya Matematika. — 2010. — Vol. 16. — No. 2. — P. 43–54.


About this article

Author: Haritonova S.V.

Year: 2013


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

Crossref
Cyberleninka
Doi
Europeanlibrary
Googleacademy
scienceindex
worldcat
© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
Зарегистрировано в Федеральной службе по надзору в сфере связи, информационных технологий и массовых коммуникаций
Свидетельство о регистрации СМИ: Эл № ФС77-37678 от 29 сентября 2009 г.
Учредитель: Оренбургский государственный университет (ОГУ)
Главный редактор: С.А. Мирошников
Адрес редакции: 460018, г. Оренбург, проспект Победы, д. 13, к. 2335
Тел./факс: (3532)37-27-78 E-mail: vestnik@mail.osu.ru
1999–2024 © CIT OSU