We are concerned with $\mathcal K$-manifolds which are a natural generalization of metric quasi-Sasakian ma\-ni\-folds. They are Riemannian manifolds with a compatible $f$-stru\-ctu\-re which admits a parallelizable kernel, have closed Sasaki 2-form and verify a certain normality condition. We study semi-invariant submanifolds of a $\cal K$-manifold and investigate the integrability of the various distributions involved. We also study the normality of semi-invariant submanifolds and present a significant example.
Semi-invariant submanifolds of $K$-manifolds
DI TERLIZZI, Luigia;VERROCA, Francesca;
2012-01-01
Abstract
We are concerned with $\mathcal K$-manifolds which are a natural generalization of metric quasi-Sasakian ma\-ni\-folds. They are Riemannian manifolds with a compatible $f$-stru\-ctu\-re which admits a parallelizable kernel, have closed Sasaki 2-form and verify a certain normality condition. We study semi-invariant submanifolds of a $\cal K$-manifold and investigate the integrability of the various distributions involved. We also study the normality of semi-invariant submanifolds and present a significant example.File in questo prodotto:
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