Some properties of biwave maps
type: Item
instance of: scholarly article
title: Some properties of biwave maps
zbMATH Open document ID: 1239.58007
author: Yuan-Jen Chiang
published in: Journal of Geometry and Physics
publication date: 2012-03-29T00:00:00Z
reviewed by: Cornelia-Livia Bejan
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 53C43
zbMATH DE Number: 6019396
zbMATH Keywords: bienergy
zbMATH Keywords: biwave map
zbMATH Keywords: biwave field
MaRDI profile type: Publication
full work available at URL: j.geomphys.2011.06.017
OpenAlex ID: W2048179069
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DOI: 10.1016/J.GEOMPHYS.2011.06.017
review text: Biharmonic maps were first studied by \textit{G. Jiang} [Chin. Ann. Math., Ser. A 7, 389--402 (1986; Zbl 0628.58008) and ibid., 130--144 (1986; Zbl 0596.53046)]. Biwave maps are biharmonic maps from Minkowski spaces into Riemannian manifolds, they generalize wave maps and were first studied by \textit{Y.-J. Chiang} [Int. J. Math. Math. Sci. 2009, Article ID 104274, 14 p. (2009; Zbl 1169.53336)].NEWLINENEWLINEThis paper gives the formulations for equivariant biwave maps into various spaces by applying eigenmaps between spheres. Biwave fields of inclusions into warped product manifolds are computed. Some examples of biwave maps are constructed by using inclusions and submersions. The stress bi-energy tensors and the conservation laws of biwave maps are investigated and some applications are discussed.
description: scientific article; zbMATH DE number 6019396