본문 바로가기
KERD
논문KCI 등재

Remarks on 3-dimensional contact metric manifolds

박정형|K. Sekigawa|J. E. Jin
장전수학회 (Jangjeon Mathematical Society)|2012.01|Advanced Studies in Contemporary Mathematics|제22권 제1호|pp. 161-171

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

(κμ)-contact metric manifoldsSasakian manifoldsμν)-contact metric manifolds
주제분류수학

초록

A review of the geometry of 3-dimensional contact metric manifolds shows that the studies of the generalizations of Sasakian manifolds and η-Einstein manifolds are deeply interrelated. In the present paper, we discuss several classes of 3-dimensional contact metric manifolds which are generalizations of Sasakian manifolds based on the above observation.

Abstract

A review of the geometry of 3-dimensional contact metric manifolds shows that the studies of the generalizations of Sasakian manifolds and η-Einstein manifolds are deeply interrelated. In the present paper, we discuss several classes of 3-dimensional contact metric manifolds which are generalizations of Sasakian manifolds based on the above observation.

참고문헌 (13)

  1. D. E. Blair, "Riemannian geometry of contact and symplectic manifolds. Second edition. Progress in Math. 203" (2002), Birkhauser
  2. D. E. Blair, "Contact metric manifolds satisfying a nullity condition", Israel J. Math, 91, pp.189~214 (1995)
  3. D. E. Blair, "A Classification of 3-dimensional contact metric manifolds with Q'='Q", Kodai Math. J, 13, pp.391~401 (1990)
  4. C. Boyer, "On eta-Einstein Sasakian geometry", Comm. Math. Phys, 262, pp.177~208 (2006)
  5. T. Koufogiorgos, "The Harmonicity of the reeb vector field on contact metric 3-manifolds", Paci c J. Math, 234, pp.325~344 (2008)
  6. T. Koufogiorgos, "Generalized (k ,)-contact metric manifolds with  = 0", Tokyo. J. Math, 31, pp.39~57 (2008)
  7. T. Koufogiorgos, "On the existence of a new class of contact metric manifolds", Canad. Math. Bull, 43, pp.440~447 (2000)
  8. D. Perrone, "Contact metric manifolds whose characteristic vector field is a harmonic vector eld", Differential Geom. Appl, 20, pp.367~378 (2004)
  9. D. Perrone, "Harmonic characteristic vector fields on contact metric manifolds", Bull. Austral. Math. Soc, 67, pp.305~315 (2003)
  10. D. Perrone, "Ricci tensor and spectral rigidity of contact Riemannian threemanifolds", Bull. Inst. Math. Acad. Sinica, 24, pp.127~138 (1996)
  11. D. Perrone, "Torsion and critical metrics on contact three-manifolds", Kodai Math. J, 13, pp.88~100 (1990)
  12. S. Tanno, "Variational problems on contact Riemannian manifolds", Trans. Amer. Math. Soc, 314, pp.349~379 (1989)
  13. W. P. Thurston, "On the existence of contact forms", Proc. Amer. Math. Soc, 52, pp.345~347 (1975)

관련 논문AI추천

η-parallel contact 3-manifoldsJi-Eun Lee, Jong Taek Cho대한수학회 · 대한수학회보2009 · 제46권 제3호Generalized Quasi-Einstein Metrics and Contact GeometryUday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제3호$\eta$-parallel H-contact 3-manifolds조종택대한수학회 · 대한수학회보2018 · 제55권 제4호A note on almost contact Riemannian 3-manifolds IIJun-ichi Inoguchi대한수학회 · 대한수학회보2017 · 제54권 제1호Generalized Ricci Solitons on 3-­dimensional Contact Metric ManifoldsPradip Majhi, Raju Das한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제4호A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDSAhmet Yildiz, Uday Chand De대한수학회 · 대한수학회논문집2012 · 제27권 제2호

이 간행물의 다른 논문 (17건)

Non linear recurrences for Apostol-Bernoulli-Euler numbers of higher orderA. Bayad, J. Chikhipp. 1-6Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균pp. 7-12Maximum likelihood estimation in weighted sampling송병철, S. M. R. Alavipp. 13-25A note on the values of Euler zeta functions at positive integersJ. Choi, 김태균, Y. H. Kimpp. 27-34Convergence aspects for q-Lauricella functions IT. Ernstpp. 35-50
원문 보기