arXiv
Open Access
2021
Generalized Surgery on Riemannian Manifolds of Positive Ricci Curvature
Philipp Reiser
Abstrak
The surgery theorem of Wraith states that positive Ricci curvature is preserved under surgery if certain metric and dimensional conditions are satisfied. We generalize this theorem as follows: Instead of attaching a product of a sphere and a disc, we glue a sphere bundle over a manifold with a so-called core metric, a type of metric which was recently introduced by Burdick to construct metrics of positive Ricci curvature on connected sums. As applications we construct core metrics on 2-sphere bundles, where the base admits a core metric, and obtain new examples of 6-manifolds with metrics of positive Ricci curvature.
Topik & Kata Kunci
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P
Philipp Reiser
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓