On the intrinsic Deszcz symmetries and the extrinsic Chen character of Wintgen ideal submanifolds

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S. Decu
M. Petrovic-Torgasev
A. Sebekovic
L. Verstraelen

Abstract

In this paper it is shown that all Wintgen ideal submanifolds in ambient real space forms are Chen submanifolds. It is also shown that the Wintgen ideal submanifolds of dimension $ >3 $ in real space forms do intrinsically enjoy some curvature symmetries in the sense of Deszcz of their Riemann--Christoffel curvature tensor, of their Ricci curvature tensor and of their Weyl conformal curvature tensor.

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How to Cite
Decu, S., Petrovic-Torgasev, M., Sebekovic, A., & Verstraelen, L. (2010). On the intrinsic Deszcz symmetries and the extrinsic Chen character of Wintgen ideal submanifolds. Tamkang Journal of Mathematics, 41(2), 109–116. https://doi.org/10.5556/j.tkjm.41.2010.662
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Papers
Author Biographies

S. Decu

University of Bucharest, Faculty of Mathematics, Str. Academiei 1, 010014 Bucharest, Romania.

M. Petrovic-Torgasev

University of Kragujevac, Department of Mathematics, Faculty of Science, Radoja Domanovica 12, 34000 Kragujevac, Serbia.

A. Sebekovic

University of Kragujevac, Technical Faculty, Svetog Save 65, 32000 Cacak, Serbia.

L. Verstraelen

Katholieke Universiteit Leuven, Fakulteit Wetenschappen, DepartementWiskunde, Celestijnenlaan 200B, 3001 Heverlee, Belgium.