논문KCI 등재
A REMARK ON H-CONTACT UNIT TANGENT SPHERE BUNDLES
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초록
We shall give some curvature conditions for the unit tangent sphere bundle of an n(≥ 4)-dimensional Riemannian manifold to be H-contact. Furthermore, we provide an example illustrating Main Theorem.
Abstract
We shall give some curvature conditions for the unit tangent sphere bundle of an n(≥ 4)-dimensional Riemannian manifold to be H-contact. Furthermore, we provide an example illustrating Main Theorem.
참고문헌 (14)
- A. L. Besse, "Manifolds All of Whose Geodesics are Closed" (1978), Springer-Verlag
- D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2002), Birkhauser, Boston, Inc
- E. Boeckx, "Harmonic and minimal vector elds on tangent and unit tangent bundles", Differential Geom. Appl, 13(1), pp.77~93 (2000)
- E. Boeckx, "Unit tangent sphere bundles with constant scalar curvature", Czechoslovak Math. J, 51(d3), pp.523~544 (2001)
- G. Calvaruso, "H-contact unit tangent sphere bundles", Rocky Mountain J. Math, 37(5), pp.1435~1458 (2007)
- P. Carpenter, "The curvature of Einstein symmetric spaces", Quart. J. Math. Oxford Ser, 33(129), pp.45~64 (1982)
- Y. D. Chai, "Remarks on -Einstein unit tangent bundles", Monatsh. Math, 155(1), pp.31~42 (2008)
- S. H. Chun, "H-contact unit tangent sphere bundles of Einstein manifolds", Quart. J. Math[DOI]
- P. Nurowski, "A four-dimensional example of a Ricci at metric admitting almost-Kahler non-Kahler structure", Classical Quantum Gravity, 16(3), pp.9~13 (1999)
- T. Oguro, "Four-dimensional almost Kahler Einstein and weakly *-Einstein manifolds", Yokohama Math. J, 47(1), pp.75~92 (1999)
- J. H. Park, "When are the tangent sphere bundles of a Riemannian manifold -Einstein", Ann. Global Anal. Geom, 36(3), pp.275~284 (2009)
- 박정형, "Notes on tangent sphere bundles of constant radii", 대한수학회지, 46(6), pp.1255~1265 (2009), 대한수학회
- D. Perrone, "Contact metric manifolds whose characteristic vector eld is a harmonic vector eld", Differential Geom. Appl, 20(3), pp.367~378 (2004)
- C. M. Wood, "On the energy of a unit vector eld", Geom. Dedicata, 64(3), pp.319~330 (1997)
관련 논문AI추천
Tangent sphere bundles of variable radii박정형, J. H Kim, K. Sekigawa장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호Notes on tangent sphere bundles of constant radii박정형, Kouei Sekigawa대한수학회 · 대한수학회지2009 · 제46권 제6호A REMARK ON QUASI CONTACT METRIC MANIFOLDS박정형, 신원민, Kouei Sekigawa대한수학회 · 대한수학회보2015 · 제52권 제3호Remarks on 3-dimensional contact metric manifolds박정형, J. E. Jin, K. Sekigawa장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호$\eta$-parallel H-contact 3-manifolds조종택대한수학회 · 대한수학회보2018 · 제55권 제4호Certain class of contact CR-submanifolds of a Sasakian space form김향숙, 박진석, Don Kwon Choi대한수학회 · 대한수학회논문집2014 · 제29권 제1호
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