논문KCI 등재
Pseudo-Hermitian 2-type Legendre surfaces in the unit sphere $S^5$
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In this paper, we show that it is Chen surfaces that non-minimal pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$. Moreover, we show that pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$ are the locally product of two pseudo-Hermitian circles.
Abstract
In this paper, we show that it is Chen surfaces that non-minimal pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$. Moreover, we show that pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in $S^5$ are the locally product of two pseudo-Hermitian circles.
참고문헌 (8)
- C. Baikoussis, "2-type integral surfaces in S5(1)", Tokyo J. Math., 14(2), pp.345~356 (1991)[DOI]
- D. E. Blair, "Riemannian geometry of contact and symplectic manifolds" (2002), Birkhauser Boston, Inc.
- B. -Y. Chen, "Total mean curvature and submanifolds of finite type, Series in Pure Mathematics, 1" (1984), World Scientific Publishing Co.
- 조종택, "Geometry of contact strongly pseudo-convex CR-manifolds", 대한수학회지, 43(5), pp.1019~1045 (2006), 대한수학회
- J. -E. Lee, "Laplacians and Legendre surfaces in pseudo-Hermitian geometry", Bull. Iranian Math. Soc, 44(4), pp.899~913 (2018)[DOI]
- N. Tanaka, "On non-degenerate real hypersurfaces, graded Lie algebras and Cartan con-nections", Japan. J. Math. (N.S.), 2(1), pp.131~190 (1976)[DOI]
- S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc, 314(1), pp.349~379 (1989)[DOI]
- S. M. Webster, "Pseudo-Hermitian structures on a real hypersurface", J. Differential Geom, 13(1), pp.25~41 (1978)
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