대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권1호
  • /
  • Pages.251-260
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  • 2020
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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PSEUDO-HERMITIAN 2-TYPE LEGENDRE SURFACES IN THE UNIT SPHERE S5

  • Lee, Ji-Eun (Institute of Basic Science Chonnam National University)
  • 투고 : 2018.12.21
  • 심사 : 2019.08.02
  • 발행 : 2020.01.31
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초록

In this paper, we show that it is Chen surfaces that non-minimal pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in S5. Moreover, we show that pseudo-Hermitian mass-symmetric 2-type Legendre surfaces in S5 are the locally product of two pseudo-Hermitian circles.

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참고문헌

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  2. D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics, 203, Birkhauser Boston, Inc., Boston, MA, 2002. https://doi.org/10.1007/978-1-4757-3604-5
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  7. S. Tanno, Variational problems on contact Riemannian manifolds, Trans. Amer. Math. Soc. 314 (1989), no. 1, 349-379. https://doi.org/10.2307/2001446
  8. S. M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differential Geom. 13 (1978), no. 1, 25-41. http://projecteuclid.org/euclid.jdg/1214434345 https://doi.org/10.4310/jdg/1214434345