Complete Riemannian Manifold with Curvature Bounded from Below

Qiong Xue; Xiao Feng Xiao

doi:10.4028/www.scientific.net/AMM.182-183.1225

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 182-183Complete Riemannian Manifold with Curvature...

Complete Riemannian Manifold with Curvature Bounded from Below

Abstract:

In this paper, we study a complete -Riemannian manifold whose curvature bounded from below. Let be a compact totally geodesic submanifold of . Then, for any , we can make use of the first variation formula and the second variation formula of distance to prove that is bounded.

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Periodical:

Applied Mechanics and Materials (Volumes 182-183)

Pages:

1225-1229

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.182-183.1225

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Online since:

June 2012

Authors:

Qiong Xue, Xiao Feng Xiao

Keywords:

Minimal Radial Curvature, Ricci Curvature, Sectional Curvature, κth-Ricci Curvature

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References

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