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http://dx.doi.org/10.4134/CKMS.2015.30.4.457

PSEUDOHERMITIAN LEGENDRE SURFACES OF SASAKIAN SPACE FORMS  

LEE, JI-EUN (Research Institute for Basic Sciences Incheon National University)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.4, 2015 , pp. 457-469 More about this Journal
Abstract
From the point of view of pseudohermitian geometry, we classify Legendre surfaces of Sasakian space forms with non-minimal ${\hat{C}}$-parallel mean curvature vector field for the Tanaka-Webster connection.
Keywords
Legendre surfaces; parallel mean curvature vector; Sasakian space forms; Tanaka-Webster connection;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 C. Baikoussis and D. E. Blair, Integral surfaces of Sasakian space forms, J. Geom. 43 (1992), no. 1-2, 30-40.   DOI
2 E. Barletta and S. Dragomir, Differential equations on contact Riemannian manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001), no. 1, 63-95.
3 D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Math. 203, Birkhauser, Boston-Basel-Berlin, 2002.
4 J. T. Cho, Geometry of contact strongly pseudo-convex CR manifolds, J. Korean Math. Soc. 43 (2006), no. 5, 1019-1045.   DOI   ScienceOn
5 J. T. Cho, J. Inoguchi, and J.-E. Lee, On slant curves in Sasakian 3-manifolds, Bull. Aust. Math. Soc. 74 (2006), no. 3, 359-367.   DOI
6 J. T. Cho, J. Inoguchi, and J.-E. Lee, Biharmonic curves in 3-dimensional Sasakian space form, Ann. Math. Pura Appl. 186 (2007), no. 4, 685-701.   DOI
7 J. T. Cho, J. Inoguchi, and J.-E. Lee, Parabolic geodesics in Sasakian 3-manifolds, Canad. Math. Bull. 54 (2011), no. 3, 396-410.   DOI   ScienceOn
8 J. T. Cho and J.-E. Lee, Slant curves in contact pseudo-Hermitian 3-manifolds, Bull. Aust. Math. Soc. 78 (2008), no. 3, 383-396.   DOI
9 J.-E. Lee, On Legendre curves in contact pseudo-Hermitian 3-manifolds, Bull. Aust. Math. Soc. 81 (2010), no. 1, 156-164.   DOI
10 J.-E. Lee, Y. J. Suh, and H. Lee, C-parallel mean curvature vector fields along slant curves in Sasakian 3-manifolds, Kyungpook Math. J. 52 (2012), no. 1, 49-59.   DOI   ScienceOn
11 N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan. J. Math. 2 (1976), no. 1, 131-190.   DOI
12 S. Tanno, Sasakian manifolds with constant '-holomorphic sectional curvature, Tohoku Math. J. 21 (1969), 501-507.   DOI
13 S. Tanno, Variational problems on contact Riemannian manifolds, Trans. Amer. Math. Soc. 314 (1989), no. 1, 349-379.   DOI   ScienceOn
14 S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), no. 1, 25-41.   DOI
15 K. Yano and M. Kon, Structures on Manifolds, Series in Prue Mathemantics, Vol 3, World Scientific Publishing Co., Singapore, 1984.