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Ostermayr, Dominik (2018). Harmonic maps from super Riemann surfaces. J. Geom. Phys., 124. S. 371 - 413. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1879-1662

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Abstract

In this paper we study harmonic maps from super Riemann surfaces in complex projective spaces and projective spaces associated with the super skew-field D. In both cases, we develop the theory of Gauss transforms and study the notion of isotropy, in particular its relation to holomorphic differentials on the super Riemann surface. Moreover, we give a definition of finite type harmonic maps for a special class of maps into CPn vertical bar n+1 and thus obtain a classification for certain harmonic super tori. Furthermore, we investigate the equations satisfied by the underlying objects and give an example of a harmonic super torus in DP2 whose underlying map is not harmonic. (C) 2017 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ostermayr, Dominik UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-204157
DOI:	10.1016/j.geomphys.2017.10.017
Journal or Publication Title:	J. Geom. Phys.
Volume:	124
Page Range:	S. 371 - 413
Date:	2018
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1879-1662
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CLASSICAL-SOLUTIONS; TORI; CONSTRUCTION; GEOMETRY; 2-SPHERES; SPACES Multiple languages Mathematics; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/20415