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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)

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  9. 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)
  10. T. Oguro, "Four-dimensional almost Kahler Einstein and weakly *-Einstein manifolds", Yokohama Math. J, 47(1), pp.75~92 (1999)
  11. J. H. Park, "When are the tangent sphere bundles of a Riemannian manifold -Einstein", Ann. Global Anal. Geom, 36(3), pp.275~284 (2009)
  12. 박정형, "Notes on tangent sphere bundles of constant radii", 대한수학회지, 46(6), pp.1255~1265 (2009), 대한수학회
  13. D. Perrone, "Contact metric manifolds whose characteristic vector eld is a harmonic vector eld", Differential Geom. Appl, 20(3), pp.367~378 (2004)
  14. C. M. Wood, "On the energy of a unit vector eld", Geom. Dedicata, 64(3), pp.319~330 (1997)

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