A Decomposition Theorem for Immersions of Product Manifolds

DOI10.1017/S001309151400025XzbMath1344.53015arXiv1306.3278OpenAlexW2964350254MaRDI QIDQ5743629

Ruy Tojeiro

Publication date: 5 February 2016

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3278

zbMATH Keywords

product manifoldsorthogonal netpartial tubes(quasi-)warped productde Rham-type theoremdecomposition of isometric immersionspolar metrics

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (7)

Conformal immersions of Riemannian products in low codimension ⋮ Geometry of submanifolds with respect to ambient vector fields ⋮ Complete submanifolds with relative nullity in space forms ⋮ Einstein submanifolds with parallel mean curvature ⋮ Hypersurfaces of space forms carrying a totally geodesic foliation ⋮ Semi-Riemannian hypersurfaces in \(\mathbb{L}^{n+1}\) with a totally geodesic foliation of codimension one ⋮ Euclidean hypersurfaces with a totally geodesic foliation of codimension one

Cites Work

• Eine innere Kennzeichnung der verzerrten Produkte
• Partial tubes and Chen submanifolds
• De Rham decomposition of netted manifolds
• Partial tubes about immersed manifolds
• Examples of simply-connected Liouville manifolds with positive spectrum

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