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Curvature identities on contact metric manifolds and their applications

박정형|배지홍|신원민
장전수학회 (Jangjeon Mathematical Society)|2015.07|Advanced Studies in Contemporary Mathematics|제25권 제3호|pp. 429-441

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키워드

curvature identitycontact metric manifold
주제분류수학

초록

We study curvature identities on contact metric manifolds on the geometry of the corresponding almost Kahler cones, and we provide applications of the derived curvature identities.

Abstract

We study curvature identities on contact metric manifolds on the geometry of the corresponding almost Kahler cones, and we provide applications of the derived curvature identities.

참고문헌 (11)

  1. D. E. Blair, "Riemannian geometry of contact and symplectic manifolds" (2002), Birkhauser
  2. D. E. Blair, "Contact metric manifolds satisfying a nullity condition", Israel J. Math, 91, pp.189~214 (1995)
  3. A. Gray, "Curvature identities for Hermitian and almost Hermitian manifolds", Tohoku Math. J, 28, pp.601~612 (1976)
  4. A. Gray, "The sixteen classes of almost Hermitian manifolds and their linear invariants", Annali di Matematica Pura ed Applicata, 123, pp.35~58 (1980)
  5. J. E. Jin, "Notes on some classes of 3-dimensional contact metric manifolds", Balkan J. Geom. Appl, 17, pp.42~53 (2012)
  6. T. Koufogiorgos, "The Harmonicity of the reeb vector field on contact metric 3-manifolds", Pacific J. Math, 234, pp.325~344 (2008)
  7. Raluca Mocanu, "GRAY CURVATURE IDENTITIES FOR ALMOST CONTACT METRIC MANIFOLDS", 대한수학회지, 47(3), pp.505~521 (2010), 대한수학회
  8. Z. Olszak, "On contact metric manifold", Tohoku Math. J, 31, pp.247~253 (1979)
  9. 박정형, "A REMARK ON QUASI CONTACT METRIC MANIFOLDS", 대한수학회보, 52(3), pp.1027~1034 (2015), 대한수학회
  10. D. Perrone, "Contact metric manifolds whose characteristic vector field is a harmonic vector field", Differential Geom. Appl, 20, pp.367~378 (2004)
  11. Y. Tashiro, "On contact structure of hypersurfaces in complex manifolds. I, II", Tohoku Math. J, 15, pp.62~175 (1963)

관련 논문AI추천

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