caa a22 4500 463248104 CHVBK 20180405153332.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10455-007-9063-y doi (NATIONALLICENCE)springer-10.1007/s10455-007-9063-y Brander David Department of Mathematics, Faculty of Science, Kobe University, 1-1, Rokkodai, Nada-Ku, 657-8501, Kobe, Japan aut Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms [Elektronische Daten] [David Brander] We study two aspects of the loop group formulation for isometric immersions with flat normal bundle of space forms. The first aspect is to examine the loop group maps along different ranges of the loop parameter. This leads to various equivalences between global isometric immersion problems among different space forms and pseudo-Riemannian space forms. As a corollary, we obtain a non-immersibility theorem for spheres into certain pseudo-Riemannian spheres and hyperbolic spaces. The second aspect pursued is to clarify the relationship between the loop group formulation of isometric immersions of space forms and that of pluriharmonic maps into symmetric spaces. We show that the objects in the first class are, in the real analytic case, extended pluriharmonic maps into certain symmetric spaces which satisfy an extra reality condition along a totally real submanifold. We show how to construct such pluriharmonic maps for general symmetric spaces from curved flats, using a generalised DPW method. Springer Science + Business Media B.V., 2007 Isometric immersions nationallicence Space forms nationallicence Pluriharmonic maps nationallicence Loop groups nationallicence Annals of Global Analysis and Geometry Springer Netherlands 32/3(2007-10-01), 253-275 0232-704X 32:3<253 2007 32 10455 https://doi.org/10.1007/s10455-007-9063-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-007-9063-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Brander David Department of Mathematics, Faculty of Science, Kobe University, 1-1, Rokkodai, Nada-Ku, 657-8501, Kobe, Japan aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Springer Netherlands 32/3(2007-10-01), 253-275 0232-704X 32:3<253 2007 32 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer