Corpus ID: 118212690

Curvatures of weighted metrics on tangent sphere bundles

@article{Albuquerque2011CurvaturesOW,
  title={Curvatures of weighted metrics on tangent sphere bundles},
  author={R. Albuquerque},
  journal={arXiv: Differential Geometry},
  year={2011}
}
We determine the curvature equations of natural metrics on tangent bundles and radius r tangent sphere bundles S_rM of a Riemannian manifold M. A family of positive scalar curvature metrics on S_rM is found, for any M with bounded sectional curvature and any chosen constant r. 
9 Citations
Notes on the Sasaki metric
  • 1
  • PDF
Riemannian problems with a fundamental differential system
  • PDF

References

SHOWING 1-8 OF 8 REFERENCES
WEIGHTED METRICS ON TANGENT SPHERE BUNDLES
  • 9
  • PDF
Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
  • 145
An elementary method in the study of nonnegative curvature
  • 83
  • Highly Influential
  • PDF
When is the unit tangent sphere bundle semi-symmetric?
  • 19
Curvatures of Tangent Bundles with Cheeger-Gromoll Metric
  • 71