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Title: Pseudosymmetry properties of generalised wintgen ideal legendrian submanifolds
Authors: Šebeković A.
Petrović-Torgašev, Miroslava
Pantić, Anica
Issue Date: 2019
Abstract: © 2019, University of Nis. All rights reserved. For Legendrian submanifolds Mn in Sasakian space forms ˜M2n+1 (c), I. Mihai obtained an inequality relating the normalised scalar curvature (intrinsic invariant) and the squared mean curvature and the normalised scalar normal curvature of M in the ambient space ˜M (extrinsic invariants) which is called the generalised Wintgen inequality, characterising also the corresponding equality case. And a Legendrian submanifold Mn in Sasakian space forms ˜M2n+1 (c) is said to be generalised Wintgen ideal Legendrian submanifold of ˜M2n+1 (c) when it realises at everyone of its points the equality in such inequality. Characterisations based on some basic intrinsic symmetries involving the Riemann–Cristoffel curvature tensor, the Ricci tensor and the Weyl conformal curvature tensor belonging to the class of pseudosymmetries in the sense of Deszcz of such generalised Wintgen ideal Legendrian submanifolds are given.
Type: article
DOI: 10.2298/FIL1904209S
ISSN: 0354-5180
SCOPUS: 2-s2.0-85078320684
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo
Faculty of Science, Kragujevac

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