Abstract
We prove non-existence of proper biharmonic hypersurfaces of zero scalar curvature in Euclidean space $E^5$.
Citation
Deepika. R. S. Gupta. "Biharmonic Hypersurfaces in $E^5$ with Zero Scalar Curvature." Afr. Diaspora J. Math. (N.S.) 18 (1) 12 - 26, 2015.
Information
Published: 2015
First available in Project Euclid: 11 August 2015
zbMATH: 1333.53010
MathSciNet: MR3365170
Subjects:
Primary:
53C40
,
53C42
,
53D12
Keywords:
Biharmonic submanifolds
,
Mean curvature vector
,
Scalar curvature
Rights: Copyright © 2015 Mathematical Research Publishers