Wyniki wyszukiwania

1

Weyl space forms and their submanifolds

100%

Narita F.

Colloquium Mathematicum

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2001

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tom 89

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nr 1

117-131

EN

We study the geometric structure of a Gauduchon manifold of constant curvature. We give a necessary and sufficient condition for a Gauduchon manifold to be a Gauduchon manifold of constant curvature, and we classify the Gauduchon manifolds of constant curvature. Next, we investigate Weyl submanifolds of such manifolds.

2

Weyl submersions of Weyl manifolds

100%

Narita F.

Colloquium Mathematicum

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2007

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tom 107

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nr 1

119-140

EN

We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein-Weyl structure. Moreover, we investigate the Einstein-Weyl structure of canonical variations of the total space with Einstein-Weyl structure.

3

CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions

100%

Narita F.

Colloquium Mathematicum

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1996

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tom 70

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nr 2

165-179

EN

We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.

Ograniczanie wyników

3 Colloquium Mathematicum

3 Narita F.

1 2007

1 2001

1 1996

Weyl space forms and their submanifolds

Weyl submersions of Weyl manifolds

CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions