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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.
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참고문헌 (8)
참고문헌 신청
C. Baikoussis / 1991 / 2-type integral surfaces in S5(1) / Tokyo J. Math. 14(2):345~356
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc.
B. -Y. Chen / 1984 / Total mean curvature and submanifolds of finite type, Series in Pure Mathematics, 1 / World Scientific Publishing Co.
조종택 / 2006 / Geometry of contact strongly pseudo-convex CR-manifolds / 대한수학회지 43(5):1019~1045
J. -E. Lee / 2018 / Laplacians and Legendre surfaces in pseudo-Hermitian geometry / Bull. Iranian Math. Soc 44(4):899~913
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser Boston, Inc.
B. -Y. Chen / 1984 / Total mean curvature and submanifolds of finite type, Series in Pure Mathematics, 1 / World Scientific Publishing Co.
조종택 / 2006 / Geometry of contact strongly pseudo-convex CR-manifolds / 대한수학회지 43(5):1019~1045
J. -E. Lee / 2018 / Laplacians and Legendre surfaces in pseudo-Hermitian geometry / Bull. Iranian Math. Soc 44(4):899~913
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