Displaying similar documents to “Fibred Spaces with Almost Hermitian Metrics whose Base Spaces Admit Almost Contact Metric Structures.”

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 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 Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres

Erdem, Sadettin (1999)

Serdica Mathematical Journal

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It is shown that the spheres S^(2n) (resp: S^k with k ≡ 1 mod 4) can be given neither an indefinite metric of any signature (resp: of signature (r, k − r) with 2 ≤ r ≤ k − 2) nor an almost paracomplex structure. Further for every given Riemannian metric on an almost para-Hermitian manifold with the associated 2-form φ one can construct an almost Hermitian structure (under certain conditions, two different almost Hermitian structures) whose associated 2-form(s) is φ.