On a Class of Submanifolds in a Tangent Bundle with a g-Natural Metric - Normal lift

DOI10.36890/IEJG.628065zbMath1460.53018arXiv1607.06918OpenAlexW2995518386MaRDI QIDQ5147038

Stanislaw Ewert-Krzemieniewski

Publication date: 2 February 2021

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06918

zbMATH Keywords

Riemannian manifoldsubmanifoldtangent bundleisometric immersiontotally geodesic distribution\(g\)-natural metricnon-degenerate metric

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Cites Work

• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Submanifolds with parallel mean curvature vector
• Totally geodesic submanifolds in tangent bundle with g-natural metric
• On the Geometry of the Tangent Bundle.
• g-Natural metrics of constant sectional curvature
• On a class of submanifolds in a tangent bundle with a $g$-natural metric
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