FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963088287> ?p ?o ?g. }

• W2963088287 endingPage "96" @default.
• W2963088287 startingPage "72" @default.
• W2963088287 abstract "In this paper, we study degenerate CR embeddings f of a strictly pseudoconvex hypersurface M⊂Cn+1 into a sphere S in a higher dimensional complex space CN+1. The degeneracy of the mapping f will be characterized in terms of the ranks of the CR second fundamental form and its covariant derivatives. In 2004, the author, together with X. Huang and D. Zaitsev, established a rigidity result for CR embeddings f into spheres in low codimensions. A key step in the proof of this result was to show that degenerate mappings are necessarily contained in a complex plane section of the target sphere (partial rigidity). In the 2004 paper, it was shown that if the total rank d of the second fundamental form and all of its covariant derivatives is <n (here, n is the CR dimension of M), then f(M) is contained in a complex plane of dimension n+d+1. The converse of this statement is also true, as is easy to see. When the total rank d exceeds n, it is no longer true, in general, that f(M) is contained in a complex plane of dimension n+d+1, as can be seen by examples. In this paper, we carry out a systematic study of degenerate CR mappings into spheres. We show that when the ranks of the second fundamental form and its covariant derivatives exceed the CR dimension n, then partial rigidity may still persist, but there is a “defect” k that arises from the ranks exceeding n such that f(M) is only contained in a complex plane of dimension n+d+k+1. Moreover, this defect occurs in general, as is illustrated by examples." @default.
• W2963088287 created "2019-07-30" @default.
• W2963088287 creator A5078720050 @default.
• W2963088287 date "2013-06-01" @default.
• W2963088287 modified "2023-09-29" @default.
• W2963088287 title "Partial rigidity of degenerate CR embeddings into spheres" @default.
• W2963088287 cites W1511469623 @default.
• W2963088287 cites W1515483994 @default.
• W2963088287 cites W1588624094 @default.
• W2963088287 cites W1593111489 @default.
• W2963088287 cites W1594915936 @default.
• W2963088287 cites W1642531286 @default.
• W2963088287 cites W1975820732 @default.
• W2963088287 cites W1979464359 @default.
• W2963088287 cites W1984989154 @default.
• W2963088287 cites W1989226544 @default.
• W2963088287 cites W1991226256 @default.
• W2963088287 cites W2003977414 @default.
• W2963088287 cites W2007505313 @default.
• W2963088287 cites W2008899315 @default.
• W2963088287 cites W2032330380 @default.
• W2963088287 cites W2047958481 @default.
• W2963088287 cites W2082234891 @default.
• W2963088287 cites W2160739887 @default.
• W2963088287 cites W217710249 @default.
• W2963088287 cites W2963184234 @default.
• W2963088287 cites W2963504358 @default.
• W2963088287 cites W4231209951 @default.
• W2963088287 doi "https://doi.org/10.1016/j.aim.2013.02.011" @default.
• W2963088287 hasPublicationYear "2013" @default.
• W2963088287 type Work @default.
• W2963088287 sameAs 2963088287 @default.
• W2963088287 citedByCount "18" @default.
• W2963088287 countsByYear W29630882872012 @default.
• W2963088287 countsByYear W29630882872013 @default.
• W2963088287 countsByYear W29630882872014 @default.
• W2963088287 countsByYear W29630882872016 @default.
• W2963088287 countsByYear W29630882872017 @default.
• W2963088287 countsByYear W29630882872018 @default.
• W2963088287 countsByYear W29630882872019 @default.
• W2963088287 countsByYear W29630882872020 @default.
• W2963088287 countsByYear W29630882872021 @default.
• W2963088287 countsByYear W29630882872022 @default.
• W2963088287 crossrefType "journal-article" @default.
• W2963088287 hasAuthorship W2963088287A5078720050 @default.
• W2963088287 hasBestOaLocation W29630882871 @default.
• W2963088287 hasConcept C114410712 @default.
• W2963088287 hasConcept C114614502 @default.
• W2963088287 hasConcept C121332964 @default.
• W2963088287 hasConcept C1276947 @default.
• W2963088287 hasConcept C134306372 @default.
• W2963088287 hasConcept C160343418 @default.
• W2963088287 hasConcept C164226766 @default.
• W2963088287 hasConcept C202444582 @default.
• W2963088287 hasConcept C2524010 @default.
• W2963088287 hasConcept C2776809875 @default.
• W2963088287 hasConcept C2777727622 @default.
• W2963088287 hasConcept C33923547 @default.
• W2963088287 hasConcept C37914503 @default.
• W2963088287 hasConcept C60644358 @default.
• W2963088287 hasConcept C62520636 @default.
• W2963088287 hasConcept C72319582 @default.
• W2963088287 hasConcept C72422203 @default.
• W2963088287 hasConcept C86803240 @default.
• W2963088287 hasConcept C9136319 @default.
• W2963088287 hasConceptScore W2963088287C114410712 @default.
• W2963088287 hasConceptScore W2963088287C114614502 @default.
• W2963088287 hasConceptScore W2963088287C121332964 @default.
• W2963088287 hasConceptScore W2963088287C1276947 @default.
• W2963088287 hasConceptScore W2963088287C134306372 @default.
• W2963088287 hasConceptScore W2963088287C160343418 @default.
• W2963088287 hasConceptScore W2963088287C164226766 @default.
• W2963088287 hasConceptScore W2963088287C202444582 @default.
• W2963088287 hasConceptScore W2963088287C2524010 @default.
• W2963088287 hasConceptScore W2963088287C2776809875 @default.
• W2963088287 hasConceptScore W2963088287C2777727622 @default.
• W2963088287 hasConceptScore W2963088287C33923547 @default.
• W2963088287 hasConceptScore W2963088287C37914503 @default.
• W2963088287 hasConceptScore W2963088287C60644358 @default.
• W2963088287 hasConceptScore W2963088287C62520636 @default.
• W2963088287 hasConceptScore W2963088287C72319582 @default.
• W2963088287 hasConceptScore W2963088287C72422203 @default.
• W2963088287 hasConceptScore W2963088287C86803240 @default.
• W2963088287 hasConceptScore W2963088287C9136319 @default.
• W2963088287 hasLocation W29630882871 @default.
• W2963088287 hasLocation W29630882872 @default.
• W2963088287 hasLocation W29630882873 @default.
• W2963088287 hasOpenAccess W2963088287 @default.
• W2963088287 hasPrimaryLocation W29630882871 @default.
• W2963088287 hasRelatedWork W1620859054 @default.
• W2963088287 hasRelatedWork W1885836294 @default.
• W2963088287 hasRelatedWork W1981465382 @default.
• W2963088287 hasRelatedWork W2014322176 @default.
• W2963088287 hasRelatedWork W2104299612 @default.
• W2963088287 hasRelatedWork W2964283581 @default.
• W2963088287 hasRelatedWork W3106118712 @default.
• W2963088287 hasRelatedWork W4297914509 @default.
• W2963088287 hasRelatedWork W4299396136 @default.

• next