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초록· 키워드
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We show that the Riemannian geometry of a tangent sphere bundle of a
Riemannian manifold (M,g) of constant radius r reduces
essentially to the one of unit tangent sphere bundle of a Riemannian
manifold equipped with the respective induced Sasaki metrics.
Further, we provide some applications of this theorem on the
η-Einstein tangent sphere bundles and certain related topics to
the tangent sphere bundles.
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참고문헌 (11)
참고문헌 신청
E. Boeckx / 2001 / Unit tangent sphere bundles with constant scalar curvature / Czechoslovak Math. J. 51 (3) : 523 ~ 544
E. Boeckx / 2003 / When are the tangent sphere bundles of a Riemannian manifold reducible? / Trans. Amer. Math. Soc. 355 (7) : 2885 ~ 2903
E. Musso / 1988 / Riemannian metrics on tangent bundles / Ann. Mat. Pura Appl. 150 : 1 ~ 19
J. Cheeger / 1972 / On the structure of complete manifolds of nonnegative curvature / Ann. of Math. 96 : 413 ~ 443
J. T. Cho / 2007 / Pseudo-symmetric contact 3-manifolds. II. When is the tangent sphere bundle over a surface pseudo-symmetric? / Note Mat. 27 (1) : 119 ~ 129
E. Boeckx / 2003 / When are the tangent sphere bundles of a Riemannian manifold reducible? / Trans. Amer. Math. Soc. 355 (7) : 2885 ~ 2903
E. Musso / 1988 / Riemannian metrics on tangent bundles / Ann. Mat. Pura Appl. 150 : 1 ~ 19
J. Cheeger / 1972 / On the structure of complete manifolds of nonnegative curvature / Ann. of Math. 96 : 413 ~ 443
J. T. Cho / 2007 / Pseudo-symmetric contact 3-manifolds. II. When is the tangent sphere bundle over a surface pseudo-symmetric? / Note Mat. 27 (1) : 119 ~ 129
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