The differential geometry of almost Hermitian almost contact metric submersions.

Tshikuna-Matamba, T.

Displaying similar documents to “The differential geometry of almost Hermitian almost contact metric submersions.”

From Sasakian 3-structures to quaternionic geometry

Yoshiyuki Watanabe, Hiroshi Mori (1998)

Archivum Mathematicum

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We construct a family of almost quaternionic Hermitian structures from an almost contact metric 3-structure and also do three kinds of quaternionic Kähler structures from a Sasakian 3-structure. In particular we have a generalization of the second main result of Boyer-Galicki-Mann [5].

Superminimal fibres in an almost Hermitian submersion

Bill Watson (2000)

Bollettino dell'Unione Matematica Italiana

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Se la varietà base, $N$ , di una submersione quasi-Hermitiana, $f : M \to N$ , è una $G_{1}$ -varietà e le fibre sono subvarietà superminimali, allora lo spazio totale, $M$ , è $G_{1}$ . Se la varietà base, $N$ , è Hermitiana e le fibre sono subvarietà bidimensionali e superminimali, allora lo spazio totale, $M$ , è Hermitiano.

Some results on the frame bundle of an almost contact metric manifold

Ana Dorotea Tarrío Tobar (1987)

Extracta Mathematicae

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Almost contact metric 3-submersions.

Watson, Bill (1984)

International Journal of Mathematics and Mathematical Sciences

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A Product Twistor Space

Blair, David (2002)

Serdica Mathematical Journal

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∗Research supported in part by NSF grant INT-9903302. In previous work a hyperbolic twistor space over a paraquaternionic Kähler manifold was defined, the fibre being the hyperboloid model of the hyperbolic plane with constant curvature −1. Two almost complex structures were defined on this twistor space and their properties studied. In the present paper we consider a twistor space over a paraquaternionic Kähler manifold with fibre given by the hyperboloid of 1-sheet,...

Fibred Spaces with Almost Hermitian Metrics whose Base Spaces Admit Almost Contact Metric Structures.

T. OKUBO (1969)

Mathematische Annalen

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Almost Hermitian structures on the frame bundle of an almost Hermitian manifold

R. Castro, A. Tarrio (1990)

Annales Polonici Mathematici

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Conformal and related changes of metric on the product of two almost contact metric manifolds.

David E. Blair, José Antonio Oubiña (1990)

Publicacions Matemàtiques

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This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.