On the Blaschke Conjecture for 3-Webs
We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linearizable. This solves the Blaschke conjecture for 3-webs. As a side result, we show that the number of linearizations in the Gronwall conjecture does not exceed fifteen and give criteria for rigidity of 3-webs.
Dette er forfatternes aksepterte versjon.
PublisherSpringer New York
CitationJournal of Geometric Analysis DOI: 10.1007/BF02930988
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