Differential geometric structures on principal toroidal bundles-Reference-Cited by-同舟云学术

Differential geometric structures on principal toroidal bundles

Published:1973 Issue:0 Volume:181 Page:175-184
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Blair David E.,Ludden Gerald D.,Yano Kentaro

Abstract

Under an assumption of regularity a manifold with an f f -structure satisfying certain conditions analogous to those of a Kähler structure admits a fibration as a principal toroidal bundle ovet a Kähler manifold. In some natural special cases, additional information about the bundle space is obtained. Finally, curvature relations between the bundle space and the base space are studied.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-181-00/S0002-9947-1973-0319099-4/S0002-9947-1973-0319099-4.pdf

Reference10 articles.

1. Geometry of manifolds with structural group \cal𝑈(𝑛)×\cal𝑂(𝑠);Blair, D. E.;J. Differential Geometry,1970

2. On a generalization of the Hopf fibration;Blair, D. E.;An. \c{S}ti. Univ. ``Al. I. Cuza" Ia\c{s}i Sec\c{t}. I a Mat. (N.S.),1971

3. On contact manifolds;Boothby, W. M.;Ann. of Math. (2),1958

4. On a generalization of Kähler geometry;Chern, Shiing-shen,1957

5. A generalization of Kaehler geometry;Goldberg, S. I.;J. Differential Geometry,1971

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Geometry of Warped Product Hemi-Slant Submanifolds of an S-Manifold;Symmetry;2023-12-28

2. Invariant submanifolds of metric contact pairs;Annali di Matematica Pura ed Applicata (1923 -);2016-04-25

3. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds;Geometry of Cauchy-Riemann Submanifolds;2016

4. Pseudo f-Manifolds with Complemented Frames;Advances in Applied Clifford Algebras;2015-08-07

5. Curvature properties of φ-null Osserman Lorentzian S-manifolds;Open Mathematics;2014-01-01