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A REMARK ON QUASI CONTACT METRIC MANIFOLDS

신원민|Kouei Sekigawa|박정형
대한수학회 (The Korean Mathematical Society)|2015.05|대한수학회보 (Bulletin of the KMS)|제52권 제3호|pp. 1027-1034

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contact metric manifoldquasi contact metric manifold
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초록

As a natural generalization of the contact metric manifolds, Kim, Park and Sekigawa discussed quasi contact metric manifolds based on the geometry of the corresponding quasi K¨ahler cones. In this paper, we show that a quasi contact metric manifold is a contact manifold.

Abstract

As a natural generalization of the contact metric manifolds, Kim, Park and Sekigawa discussed quasi contact metric manifolds based on the geometry of the corresponding quasi K¨ahler cones. In this paper, we show that a quasi contact metric manifold is a contact manifold.

참고문헌 (10)

  1. D. E. Blair, "Riemannian geometry of contact and symplectic manifolds, Second edition", Progress in Math, 203 (2002), Birkh¨auser
  2. S. Dragomir, "Levi harmonic maps of contact Riemannian manifolds", J. Geom. Anal, 24(3), pp.1233~1275 (2014)
  3. A. Gray, "Curvature identities for Hermitian and almost Hermitian manifolds", Tohoku Math. J, 28(4), pp.601~612 (1976)
  4. A. Gray, "The sixteen classes of almost Hermitian manifolds and their linear invariants", Ann. Mat. Pura Appl, 123, pp.35~58 (1980)
  5. J. E. Jin, "Notes on some classes of 3-dimensional contact metric manifolds", Balkan J. Geom. Appl, 17(2), pp.54~65 (2012)
  6. J. H. Kim, "A generalization of contact metric manifolds", Balkan J. Geom. Appl, 19(2), pp.94~105 (2014)
  7. Z. Olszak, "On contact metric manifold", Tohoku Math. J, 31(2), pp.247~253 (1979)
  8. Domenico Perrone, "REMARKS ON LEVI HARMONICITY OF CONTACT SEMI-RIEMANNIAN MANIFOLDS", 대한수학회지, 51(5), pp.881~895 (2014), 대한수학회
  9. Y. Tashiro, "On contact structure of hypersurfaces in complex manifolds. I", Tohoku Math. J, 15, pp.62~78 (1963)
  10. Y. Tashiro, "On contact structure of hypersurfaces in complex manifolds. II", Tohoku Math. J, 15, pp.167~175 (1963)

관련 논문AI추천

Quasi contact metric manifolds with Killing characteristic vector fields박정형, 장영재, Jihong Bae, Kouei Sekigawa대한수학회 · 대한수학회보2020 · 제57권 제5호Remarks on 3-dimensional contact metric manifolds박정형, J. E. Jin, K. Sekigawa장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A REMARK ON H-CONTACT UNIT TANGENT SPHERE BUNDLES박정형, 박홍경, 전선향, Kouei Sekigawa대한수학회 · 대한수학회지2011 · 제48권 제2호Curvature identities on contact metric manifolds and their applications박정형, 배지홍, 신원민장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호Generalized Quasi-Einstein Metrics and Contact GeometryUday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제3호On the closed Einstein-Weyl structure and compact $K$-contact manifoldAmalendu Ghosh대한수학회 · 대한수학회보2016 · 제53권 제6호

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