Some properties of δ(2,2) Chen ideal submanifolds

DOI10.2298/FIL1707163PzbMath1488.53041OpenAlexW1773739524MaRDI QIDQ5155908

Anica Pantić, Miroslava Petrović-Torgašev

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1707163p

zbMATH Keywords

Einstein tensorWeyl conformal curvature tensor\(\delta (2, 2)\) Chen ideal submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Cites Work

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• On the Roter type of Chen ideal submanifolds
• Some pinching and classification theorems for minimal submanifolds
• Einstein, conformally flat and semi-symmetric submanifolds satisfying Chen's equality
• $\delta$-Invariants, Inequalities of Submanifolds and Their Applications
• Semi-symmetry of δ(2,2) Chen ideal submanifolds

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