Chen, Qun; Jost, Jürgen; Sun, Linlin; Zhu, Miaomiao Dirac-harmonic maps between Riemann surfaces. (English) Zbl 1425.53056 Asian J. Math. 23, No. 1, 107-126 (2019). Summary: In this paper, we consider the existence and structure of Dirac-harmonic maps between closed Riemann surfaces. Utilizing the Riemann-Roch formula, we compute the dimension of harmonic spinors along a map, based on which we prove an existence theorem for Dirac-harmonic maps between closed Riemann surfaces. We also obtain a structure theorem for Dirac-harmonic maps between two surfaces if their genera and the degree of the map satisfy a certain relation. Cited in 7 Documents MSC: 53C27 Spin and Spin\({}^c\) geometry 53C43 Differential geometric aspects of harmonic maps Keywords:Dirac-harmonic maps; Riemann surfaces; Riemann-Roch formula PDFBibTeX XMLCite \textit{Q. Chen} et al., Asian J. Math. 23, No. 1, 107--126 (2019; Zbl 1425.53056) Full Text: DOI