On asymptotics of complete Ricci-flat Kähler metrics on open manifolds
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Köhler-Kühnel [32] proves uū = O(r^{-N}) for all N for the Calabi-Yau manifolds in [53].
“While the present paper was under review, I learned of a recent paper by Köhler-Kühnel [32], which proves uū = O(r -N ) for all N for the Calabi-Yau manifolds in [53].”
From Gravitational instantons from rational elliptic surfaces (2011) · cites this paper as [32]
The Introduction (p. 2) says the decay exponent obtained is 1/(6n), calls it too small for the reducible-divisor case, and hopes to improve it. The proof (p. 10) likewise concludes with a decay rate of 1/(6n), not O(r^{-N}) for every N. The arbitrary N mentioned in the construction of the initial metric (p. 4) does not establish the claimed rate for the Ricci-flat metric. (LLM, conf=0.87)
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Gravitational instantons from rational elliptic surfaces
Hein, H.-J. (2011) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-2011-00723-6 · Cited by 87 · see citing works
- Authors
- Koehler, B., & Kühnel, M.
- Venue
- manuscripta mathematica
- Published
- 2010-04-18
- Volume
- 132
- Issue
- 3-4
- Pages
- 431-462
- ISSN
- 0025-2611 (ISSN-L)
- 1432-1785
- OpenAlex
- W2038117188
- Cited by
- 5
- References
- 0
- Citations by year
- 2023: 1 · 2021: 2
- FWCI
- 0.74
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- manuscripta mathematica (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometry and complex manifolds
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- asymptotic behavior, non-compact manifolds, anticanonical divisor, decay rate, boundary behavior
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