Convergence of vector bundles with metrics of Sasaki-type
From MaRDI portal
Publication:472108
DOI10.1007/s12220-013-9409-6zbMath1306.53031arXiv1011.0513OpenAlexW2138561849MaRDI QIDQ472108
Publication date: 18 November 2014
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0513
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Issues of holonomy in differential geometry (53C29)
Related Items
Holonomic Spaces, The projected homogeneous Ricci flow and its collapses with an application to flag manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of \(e^\epsilon\)-Lipschitz and co-Lipschitz maps in Gromov-Hausdorff topology
- On the differential geometry of tangent bundles of Riemannian manifolds
- Manifolds near the boundary of existence
- Convergence and rigidity of manifolds under Ricci curvature bounds
- The geometry of generalised Cheeger-Gromoll metrics
- Riemannian metrics on tangent bundles
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Collapsing and pinching under a lower curvature bound
- \(C^ \alpha\)-compactness for manifolds with Ricci curvature and injectivity radius bounded below
- On the structure of spaces with Ricci curvature bounded below. I
- On compact Riemannian manifolds with noncompact holonomy groups
- On the structure of spaces with Ricci curvature bounded below. II
- On the structure of spaces with Ricci curvature bounded below. III
- Collapsing three-manifolds under a lower curvature bound.
- On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
- On the structure of complete manifolds of nonnegative curvature
- Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type
- Normed versus topological groups: Dichotomy and duality
- Vector Bundles and Gromov–Hausdorff Distance
- Natural Vector Bundles and Natural Differential Operators
- Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
- Holonomic Spaces
- Riemannian Geometry
- Finiteness Theorems for Riemannian Manifolds
- Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Metric foliations and curvature
