본문 바로가기
KERD
논문KCI 등재

A one-parameter family of totally umbilical hyperspheres in the nearly K\"ahler 6-sphere

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We discuss two kinds of almost contact metric structures on a one-parameter family of totally umbilical hyperspheres in the nearly {K\"ahler} unit $6$-sphere $S^{6}$.

Abstract

We discuss two kinds of almost contact metric structures on a one-parameter family of totally umbilical hyperspheres in the nearly {K\"ahler} unit $6$-sphere $S^{6}$.

참고문헌 (8)

  1. J. Bae, "Hypersurfaces in a quasi Kahler manifold", Balkan J. Geom. Appl., 22(2), pp.13~20 (2017)
  2. J. Berndt, "Almost complex curves and Hopf hypersurfaces in the nearly Kahler 6-sphere", Geom. Dedicata, 56(3), pp.237~247 (1995)[DOI]
  3. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2010), Birkhauser Boston, Inc.
  4. Y. Chai, "Notes on quasi contact metric manifolds", An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 62(2), pp.349~359 (2016)
  5. S. Deshmukh, "Hopf hypersurfaces in nearly Kaehler 6-sphere", Balkan J. Geom. Appl., 13(1), pp.38~46 (2008)
  6. J. H. Kim, "A generalization of contact metric manifolds", Balkan J. Geom. Appl., 19(2), pp.94~105 (2014)
  7. 박정형, "A REMARK ON QUASI CONTACT METRIC MANIFOLDS", 대한수학회보, 52(3), pp.1027~1034 (2015), 대한수학회
  8. K. Sekigawa, "Almost complex submanifolds of a 6-dimensional sphere", Kodai Math. J., 6(2), pp.174~185 (1983)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (13건)