Proper holomorphic maps in harmonic map theory
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| 024 | 7 | 0 | |a 10.1007/s10231-014-0429-z |2 doi |
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| 245 | 0 | 0 | |a Proper holomorphic maps in harmonic map theory |h [Elektronische Daten] |c [Elisabetta Barletta, Sorin Dragomir] |
| 520 | 3 | |a We determine all proper holomorphic maps of balls $${\mathbb {B}}_2 \rightarrow {\mathbb {B}}_3$$ B 2 → B 3 admitting a $$C^3$$ C 3 extension up to the boundary of $${\mathbb {B}}_2$$ B 2 and whose boundary values $$S^3 \rightarrow S^5$$ S 3 → S 5 are subelliptic harmonic maps (in the sense of Jost and Xu in Trans Am Math Soc 350(11):4633-4649,1998). A new numerical CR invariant, the CR degree of a CR map of spheres $$S^{2n+1} \rightarrow S^{2N+1}$$ S 2 n + 1 → S 2 N + 1 , is introduced and used to distinguish among the spherical equivalence classes in Faran's list $$P^*(2,3)$$ P ∗ ( 2 , 3 ) (cf. Faran in Invent Math 68:441-475,1982). As an application, the boundary values $$\phi $$ ϕ of Alexander's map $$\Phi \in P(2,3)$$ Φ ∈ P ( 2 , 3 ) (cf. Alexander in Indiana Univ Math J 26:137-146,1977) is shown to be homotopically nontrivial, as a map of $$\{ (z,w) \in S^3 : w + \overline{w} > 0 \}$$ { ( z , w ) ∈ S 3 : w + w ¯ > 0 } into $$S^5 {\setminus } S^3$$ S 5 \ S 3 . | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Proper holomorphic map |2 nationallicence | |
| 690 | 7 | |a Subelliptic harmonic map |2 nationallicence | |
| 690 | 7 | |a CR degree |2 nationallicence | |
| 700 | 1 | |a Barletta |D Elisabetta |u Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, 85100, Potenza, Italy |4 aut | |
| 700 | 1 | |a Dragomir |D Sorin |u Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, 85100, Potenza, Italy |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1469-1498 |x 0373-3114 |q 194:5<1469 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0429-z |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0429-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Barletta |D Elisabetta |u Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, 85100, Potenza, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dragomir |D Sorin |u Dipartimento di Matematica, Informatica ed Economia, Università degli Studi della Basilicata, Via dell'Ateneo Lucano 10, 85100, Potenza, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1469-1498 |x 0373-3114 |q 194:5<1469 |1 2015 |2 194 |o 10231 | ||