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Minimal Slant Submanifolds of the smallest dimension in $S$-manifolds

Minimal slant submanifolds of the smallest dimension in \(S\)-manifolds
Authors: Carriazo, Alfonso; Fernández, Luis M.; Hans-Uber, María Belén;

Minimal Slant Submanifolds of the smallest dimension in $S$-manifolds

Abstract

We study slant submanifolds of S -manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S -manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.

Country
Spain
Related Organizations
Keywords

\(f\)-structure, minimal submanifold, Smallest dimension, slant submanifold, Global submanifolds, Minimal submanifold, $S$-manifold, smallest dimension, 53C40, Slant submanifold, 53C25, S-manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green
gold