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June 2017 $CR$ rigidity of pseudo harmonic maps and pseudo biharmonic maps
Hajime URAKAWA
Hokkaido Math. J. 46(2): 141-187 (June 2017). DOI: 10.14492/hokmj/1498788016

Abstract

The $CR$ analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with pseudo parallel pseudo mean curvature vector fields, will be characterized.

Citation

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Hajime URAKAWA. "$CR$ rigidity of pseudo harmonic maps and pseudo biharmonic maps." Hokkaido Math. J. 46 (2) 141 - 187, June 2017. https://doi.org/10.14492/hokmj/1498788016

Information

Published: June 2017
First available in Project Euclid: 30 June 2017

zbMATH: 1376.32036
MathSciNet: MR3677879
Digital Object Identifier: 10.14492/hokmj/1498788016

Subjects:
Primary: 58E20
Secondary: 53C43

Keywords: biharmonic map , Harmonic map , isometric immersion , pseudo-biharmonic map , pseudo-harmonic map

Rights: Copyright © 2017 Hokkaido University, Department of Mathematics

Vol.46 • No. 2 • June 2017
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