Some Remarks Concerning Hyperholomorphic B-Manifolds 被引量：2

Some Remarks Concerning Hyperholomorphic B-Manifolds

导出

摘要 The authors consider a differentiable manifold with H-structure which is an isomorphic representation of an associative, commutative and unitial algebra. For Riemannian metric tensor fields, the φ-operators associated with r-regular H-structure are introduced. With the help of φ-operators, the hyperholomorphity condition of B-manifolds is established.

作者 Arif SALIMOV Murat ISCAN Kursat AKBULUT

机构地区 Department of Geometry Department of Mathematics Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2008年第6期631-640,共10页 数学年刊（B辑英文版）

基金 supported by the Scientific and Technological Research Council of Turkey (No. 108T590).

关键词 Pure tensor field Interior product Holomorphic tensor B-Manifold 纯张量场内积全纯张量簇拓扑学

分类号 O177.91 [理学—基础数学]

引文网络
相关文献

参考文献10

1Etayo, F. and Santamaria, R., (J^2=±1)-metric manifolds, Publ. Math. Debrecen, 57(3-4), 2000, 435-444.
2Evtushik, L. E., Lumiste, Ju. G., Ostianu, N. M. et al, Differential-geometric structures on manifolds (in Russian), Problems in Geometry, Vol. 9, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Akad. Nauk SSSR, Moscow, 1979.
3Kruchkovich, G. I., Hypercomplex structure on manifold I, Tr. Sere. Vect. Tens. Anal., 16, 1972, 174-201.
4Norden, A. P., On a certain class of four-dimensional A-spaces, Izv. Vuzov. Mat., 4, 1960, 145-157.
5Salimov, A. A., Almost Ψ-holomorphic tensors and their properties (in Russian), Dokl. Akad. Nauk, 324(3), 1992, 533-536.
6Salimov, A. A., Lifts of poly-affinor structures on pure sections of a tensor bundle, Russian Math. (Iz. VUZ, Mat.), 40(10), 1996, 52-59.
7Salimov, A. A., Iscan, M. and Etayo, F., Paraholomorphic B-manifold and its properties, Topol. Its Appl., 154, 2007, 925-933.
8Scheffers, G., Verallgemeinerung der Grundlagen der gewohnlichen komplexen Funktionen, Berichte Sachs. Acad. Wiss., Bd. 45, 1893, 828-842.
9Vishnevskii, V. V., Shirokov, A. P. and Shurygin, V. V., Spaces over Algebras (in Russian), Kazan Gos. University Press, Kazan, 1985.
10Yano, K. and Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 1973.

引证文献2

1Arif SALIMOV,Aydin GEZER.On the Geometry of the(1,1)-Tensor Bundle with Sasaki Type Metric[J].Chinese Annals of Mathematics,Series B,2011,32(3):369-386. 被引量：3
2Arif SALIMOV,Narmina GURBANOVA.Holomorphic Connections and Problems of Lifts[J].Chinese Annals of Mathematics,Series B,2024,45(5):677-684.

二级引证文献3

1Murat ALTUNBAS,Aydin GEZER.On Affine Connections Induced on the(1,1)-Tensor Bundle[J].Chinese Annals of Mathematics,Series B,2018,39(4):683-694.
2Habil FATTAYEV,Arif SALIMOV.Metrics and Connections on the Bundle of Affinor Frames[J].Chinese Annals of Mathematics,Series B,2021,42(1):121-134.
3王昱丹,王剑.加权Sasaki空间的曲率形式和测地线[J].应用数学进展,2022,11(11):8026-8031.

1柴丽.黎曼流形上任意阶张量的李微商[J].辽宁工学院学报,1999,19(1):76-78.
2Authors＇ Remarks[J].燃料化学学报,2008,36(3):310-310.
3徐海峰.Some Remarks on the Existence of the Cusp Metric on R^3[J].Northeastern Mathematical Journal,2008,24(6):503-510.
4LI Jian-ping.Some Remarks On E＇-matrices[J].Chinese Quarterly Journal of Mathematics,2009,24(1):40-45.
5A characterization of BMO on manifolds[J].Chinese Science Bulletin,1998,43(4):351-351.
6王吉春.关于(ε)—SASAKIAN流形中的一个充要条件[J].淮海工学院学报（自然科学版）,1997,6(2):7-9.
7王吉春.关于(ε)-Sasakian流形的一个充要条件[J].江苏师范大学学报（自然科学版）,1998,28(3):14-15.
8顾希明.函数y=ax+b/cx+d与函数y=k/x同形问题[J].数学通讯（教师阅读）,2005,19(3):14-15.
9Mihail B.BANARU.On Kirichenko Tensors of Nearly-Khlerian Manifolds[J].四川理工学院学报（自然科学版）,2012,25(4):1-5.
10Elmer Rees.Problems Concerning Embeddings of Manifolds[J].数学进展,1990,19(1):72-79.

Chinese Annals of Mathematics,Series B

2008年第6期

浏览历史

内容加载中请稍等...

Some Remarks Concerning Hyperholomorphic B-Manifolds 被引量：2

参考文献10

引证文献2

二级引证文献3

相关作者

相关机构

相关主题

浏览历史