Abstract
In terms of an operator of J. Simons we give a new characterization for the Chen submanifolds orA-submanifolds of Riemannian manifolds. Also we give a number of non-trivial examples of Chen surfaces and study the impact of a conformal change of the metric of the ambient space on the property of being anA-surface.
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Gheysens, L., Verheyen, P. & Verstraelen, L. Characterization and examples of Chen submanifolds. J Geom 20, 47–62 (1983). https://doi.org/10.1007/BF01917994
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DOI: https://doi.org/10.1007/BF01917994