naa a22 4500 510736653 CHVBK 20180411083012.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s13366-012-0105-7 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0105-7 Lu Wei-Jun College of Mathematics and Computer Science, Guangxi University for Nationalities, 188 East Daxue Road, 530006, Guangxi, Naning, People's Republic of China aut Quadratic harmonic morphisms between semi-Riemannian manifolds [Elektronische Daten] [Wei-Jun Lu] In this paper, we study the characterizations and classifications about harmonic morphisms (HMs) between non-degenerate semi-Riemannian manifolds. We establish a necessary and sufficient condition for a quadratic polynomial map between semi-Euclidean spaces to be a HM. Applying this result, we obtain some classifications of quadratic harmonic morphisms (QHMs) under some additional conditions (see Theorem 5.7, Theorem 5.8 and Theorem 6.1), which generalize the results of Ou and Wood for QHMs in Euclidean case (see Ou and Wood (Contrib Algebra Geom 13:41-53, 1996, Ou (Ann Inst Fourier 47(2):687-713, 1997). The Managing Editors, 2012 Proper semi-Riemannian metric nationallicence p -pseudo-symmetric nationallicence Quadratic harmonic morphism nationallicence Classification nationallicence Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 59-79 0138-4821 54:1<59 2013 54 13366 https://doi.org/10.1007/s13366-012-0105-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0105-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lu Wei-Jun College of Mathematics and Computer Science, Guangxi University for Nationalities, 188 East Daxue Road, 530006, Guangxi, Naning, People's Republic of China aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer-Verlag 54/1(2013-03-01), 59-79 0138-4821 54:1<59 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer