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. 
View PDF on arXiv
9 Citations
Background Citations
2
Methods Citations
1

9 Citations

Citation Type

Citation Type

A fundamental differential system of Riemannian geometry
  • 5
  • PDF
Intrinsic Riemannian geometry of 3-dimensional manifolds
A fundamental differential system of 3-dimensional Riemannian geometry
  • 2
  • PDF
Homotheties and topology of tangent sphere bundles
  • 11
  • PDF
On the characteristic torsion of gwistor space
Notes on the Sasaki metric
  • 1
  • PDF
Riemannian problems with a fundamental differential system
  • PDF
Riemannian Questions with a Fundamental Differential System
  • PDF
Natural SU(2)-structures on tangent sphere bundles
  • PDF

References

SHOWING 1-8 OF 8 REFERENCES
WEIGHTED METRICS ON TANGENT SPHERE BUNDLES
  • 9
  • PDF
On Tangent Sphere Bundles with Small or Large Constant Radius
  • 36
Some Aspects on the Geometry of the Tangent Bundles and Tangent Sphere Bundles of a Riemannian Manifold
  • 38
Riemannian Geometry of Contact and Symplectic Manifolds
  • 1,420
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