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A note on almost contact Riemannian 3-manifolds II

Jun-ichi Inoguchi
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회보 (Bulletin of the KMS)|제54권 제1호|pp. 85-97

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참고문헌

키워드

$\eta$-parallelismcosymplectic 3-manifoldsKenmotsu 3-manifoldsSasakian 3-manifoldsstrong $\eta$-parallelism
주제분류수학

초록

We classify Kenmotsu 3-manifolds and cosymplectic $3$-mani\-folds with $\eta$-parallel Ricci operator.

Abstract

We classify Kenmotsu 3-manifolds and cosymplectic $3$-mani\-folds with $\eta$-parallel Ricci operator.

참고문헌 (15)

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  9. J. Inoguchi, "A note on almost contact Riemannian 3-manifolds", Bull. Yamagata Univ. Natur. Sci, 17(1), pp.1~6 (2010)
  10. Jae Bok Jun, "ON KENMOTSU MANIFOLDS", 대한수학회지, 42(3), pp.435~445 (2005), 대한수학회
  11. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)
  12. M. Kimura, "On real hypersurfaces of a complex projective space", Math. Z, 202(3), pp.299~311 (1989)
  13. M. Kon, "Invariant submanifolds in Sasakian manifolds", Math. Ann, 219(3), pp.277~290 (1976)
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  15. B. O’Neill, "Semi-Riemannian Geometry with Application to Relativity" (1983), Academic Press

관련 논문AI추천

η-parallel contact 3-manifoldsJi-Eun Lee, Jong Taek Cho대한수학회 · 대한수학회보2009 · 제46권 제3호$\eta$-parallel H-contact 3-manifolds조종택대한수학회 · 대한수학회보2018 · 제55권 제4호Homogeneity and symmetry on almost Kenmotsu $3$-manifoldsYaning Wang대한수학회 · 대한수학회지2019 · 제56권 제4호On the $\eta$-parallelism in almost Kenmotsu $3$-manifolds이지은, Jun-ichi Inoguchi대한수학회 · 대한수학회지2023 · 제60권 제6호THREE-DIMENSIONAL ALMOST KENMOTSU MANIFOLDS WITH η-PARALLEL RICCI TENSORYaning Wang대한수학회 · 대한수학회지2017 · 제54권 제3호Remarks on 3-dimensional contact metric manifolds박정형, J. E. Jin, K. Sekigawa장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호

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