期刊文献+

Two theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra 被引量:1

Two theorems on cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra
下载PDF
导出
摘要 Proves that cosymplectic hypersurfaces of six dimensional Hermitian submanifolds of the octave algebra are ruled manifolds and establishes a necessary and sufficient condition for a cosymplectic hypersurface of Hermitian M 6 O  to be a minimal submanifold of M 6. Proves that cosymplectic hypersurfaces of six dimensional Hermitian submanifolds of the octave algebra are ruled manifolds and establishes a necessary and sufficient condition for a cosymplectic hypersurface of Hermitian M 6 O  to be a minimal submanifold of M 6.
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第1期38-40,共3页 哈尔滨工业大学学报(英文版)
关键词 Hermitian manifold almost contact metric structure ruled manifold minimal submanifold cosymplectic structure Hermitian manifold almost contact metric structure ruled manifold minimal submanifold cosymplectic structure
  • 相关文献

参考文献10

  • 1STEPANOVALV.Contactgeometryofhypersurfacesofquasi K hlerianmanifolds[].MSPU″VILenin″.1995
  • 2STEPANOVALV.Quasi SasakianstructureonhypersurfacesofHermitianmanifolds[].ScienWorksofMSPU″VILenin″.1995
  • 3BANARUMB.Hermitiangeometryofsix dimensionalsubmani foldsofCayleyalgebra[].MSPU″VILenin″.1993
  • 4GOLDBERG S.Totally geodesic hypersurfaces of Kaehler manifolds[].Pacific Journal of Mathematics.1968
  • 5TASHIRO Y.On contact structure of hypersurfaces in complex manifolds[].The Tohoku MaThematical Journal.1963
  • 6KIRICHENKO V F,STEPANOVA L V.Geometry of hypersurfaces of quasi-K hlerian manifolds[].Uspekhi Matematicheskih Nauk.1995
  • 7KIRICHENKO V F.On nearly-K hlerian structures induced by means of 3-vector cross products on six-dimensional submanifolds of Cayley algebra[].Vestnik MGU.1973
  • 8KIRICHENKO V F.Methods of the generalized Hemitian geometry in the theory of almost contact metric manifolds[].Problems in General Surgery.1986
  • 9GRAY A.Some examples of almost Hermitian manifolds[].Illinois Journal of Mathematics.1966
  • 10CARTAN E.Riemannian geometry in an orthogonal frame[].MGU.1960

同被引文献30

  • 1] Brown R,Gmy A.Vector cross products.Comm[J].Math. Helv.,1967,42: 222-236.
  • 2Gray A. Six-dimensional almost complex manifolds defined by means of three-fold vector cross products[J]. TShoku Math.J.,1969,21 (4): 614-620.
  • 3Gray A. Vector cross products on manifolds[J]. Trans. Amer. Math. Soc., 1969,141 : 465 -504.
  • 4Gray A. Nearly Kahler manifolds[J]. J. Diff. Geom., 1970,4: 283 -309.
  • 5Kirichenko V F. On nearly-Kahlerian structures induced by means of 3-vector cross products on six-dimensionalsubmanifolds of Cayley aigebm[J].Vestnik MGU,1973, 3:70-75.
  • 6Kirichenko V F. Classification of Kahlerian structures, defined by means of three-fold vector cross products on six-dimensional submanifolds of Cayley algebra [ J ]. Iz- vestia Vuzov.Math.,1980,8:32-38.
  • 7Li Haizhong. The Ricci curvature of totally real 3-dimen- sional submanifolds of the nearly-Kaehler 6-sphere. Bull [J].Belg.Math. Soc.Simon Stevin,1996 ,3 :193 -199 .
  • 8Li Haizhong, Wei Gouxin. Classification of l_agrangian Willmore submanifolds of the nearly-Kaehler 6-sphere S6 (1) with constant scalar curvature [J]. Glasgow Math. J.,2006,48:53-64.
  • 9Hashimoto H.Characteristic classes of oriented 6-dimen- sional submanifolds in the octonions[J].Kodai Math.J, 1993,16:65-73.
  • 10[ Hashimoto H. Oriented 6-dimensional submanifolds in the octonions [ J ]. Internat. J. Math. Math. Sci., 1995,18: 111-120.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部