Fueter regular mappings and harmonicity
Annales Polonici Mathematici (1996)
- Volume: 64, Issue: 2, page 97-114
- ISSN: 0066-2216
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topWiesław Królikowski. "Fueter regular mappings and harmonicity." Annales Polonici Mathematici 64.2 (1996): 97-114. <http://eudml.org/doc/269987>.
@article{WiesławKrólikowski1996,
abstract = {It is shown that Fueter regular functions appear in connection with the Eells condition for harmonicity. New conditions for mappings from 4-dimensional conformally flat manifolds to be harmonic are obtained.},
author = {Wiesław Królikowski},
journal = {Annales Polonici Mathematici},
keywords = {quaternions; Fueter regular functions; harmonic mappings; Fueter regular function; harmonic mapping; 4-manifolds; quaternionic manifolds},
language = {eng},
number = {2},
pages = {97-114},
title = {Fueter regular mappings and harmonicity},
url = {http://eudml.org/doc/269987},
volume = {64},
year = {1996},
}
TY - JOUR
AU - Wiesław Królikowski
TI - Fueter regular mappings and harmonicity
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 2
SP - 97
EP - 114
AB - It is shown that Fueter regular functions appear in connection with the Eells condition for harmonicity. New conditions for mappings from 4-dimensional conformally flat manifolds to be harmonic are obtained.
LA - eng
KW - quaternions; Fueter regular functions; harmonic mappings; Fueter regular function; harmonic mapping; 4-manifolds; quaternionic manifolds
UR - http://eudml.org/doc/269987
ER -
References
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- [10] W. Królikowski and R. M. Porter, Quaternionic regular and biregular functions in the sense of Fueter, in: Proc. Fourth Finnish-Polish Summer School in Complex Analysis at Jyväskylä, Ber. Univ. Jyväskylä, Math. Inst. 55 (1993), 65-87. Zbl0785.30023
- [11] J. W. Milnor and J. D. Stasheff, Characteristic Classes, Princeton Univ. Press and Univ. of Tokyo Press, Princeton, N.J., 1974. Zbl0298.57008
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- [13] V. Souček, Holomorphicity in quaternionic analysis, in: Seminari di Geometria 1982-1983, Università di Bologna, Istituto de Geometria, Dipartimento de Matematica, 1984, 147-153. Zbl0599.30077
- [14] A. Sudbery, Quaternionic analysis, Math. Proc. Cambridge Philos Soc. 85 (1979), 199-225. Zbl0399.30038
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