Stability of gradient Kähler-Ricci solitons
| dc.contributor.author | Chau, Albert | |
| dc.contributor.author | Schnürer, Oliver C. | |
| dc.date.accessioned | 2018-01-25T08:06:04Z | |
| dc.date.available | 2018-01-25T08:06:04Z | |
| dc.date.issued | 2005 | eng |
| dc.description.abstract | We study the stability of non-compact gradient K¨ahler–Ricci solitons under the Kähler–Ricci flow. Our main result is that appropriate perturbations of Cao’s steady soliton metric on Cn will converge to the original soliton under the Kähler–Ricci flow as time tends to infinity. These perturbations correspond to appropriately decaying perturbations of the soliton potential function; in particular, this includes any compactly supported perturbation. To obtain this result, we construct appropriate barriers and introduce an Lp-norm that decays for these barriers with non-negative Ricci curvature. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.4310/CAG.2005.v13.n4.a6 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/41145 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Stability of gradient Kähler-Ricci solitons | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Chau2005Stabi-41145,
year={2005},
doi={10.4310/CAG.2005.v13.n4.a6},
title={Stability of gradient Kähler-Ricci solitons},
number={4},
volume={13},
issn={1019-8385},
journal={Communications in Analysis and Geometry},
pages={769--800},
author={Chau, Albert and Schnürer, Oliver C.}
} | |
| kops.citation.iso690 | CHAU, Albert, Oliver C. SCHNÜRER, 2005. Stability of gradient Kähler-Ricci solitons. In: Communications in Analysis and Geometry. 2005, 13(4), pp. 769-800. ISSN 1019-8385. eISSN 1944-9992. Available under: doi: 10.4310/CAG.2005.v13.n4.a6 | deu |
| kops.citation.iso690 | CHAU, Albert, Oliver C. SCHNÜRER, 2005. Stability of gradient Kähler-Ricci solitons. In: Communications in Analysis and Geometry. 2005, 13(4), pp. 769-800. ISSN 1019-8385. eISSN 1944-9992. Available under: doi: 10.4310/CAG.2005.v13.n4.a6 | eng |
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| kops.sourcefield | Communications in Analysis and Geometry. 2005, <b>13</b>(4), pp. 769-800. ISSN 1019-8385. eISSN 1944-9992. Available under: doi: 10.4310/CAG.2005.v13.n4.a6 | deu |
| kops.sourcefield.plain | Communications in Analysis and Geometry. 2005, 13(4), pp. 769-800. ISSN 1019-8385. eISSN 1944-9992. Available under: doi: 10.4310/CAG.2005.v13.n4.a6 | deu |
| kops.sourcefield.plain | Communications in Analysis and Geometry. 2005, 13(4), pp. 769-800. ISSN 1019-8385. eISSN 1944-9992. Available under: doi: 10.4310/CAG.2005.v13.n4.a6 | eng |
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| source.periodicalTitle | Communications in Analysis and Geometry | eng |