3-Sasakian manifolds
نویسندگان
چکیده
منابع مشابه
The Local Moduli of Sasakian 3-manifolds
The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given any smooth function of two variables, there exists locally a Sasakian structure with scalar curvature equal to this function. The case where the sc...
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The object of the present paper is to study the extended generalized φ-recurrent trans-Sasakian manifold and its various geometric properties.
متن کاملOn Para-sasakian Manifolds
In ([1]), T. Adati and K. Matsumoto defined para-Sasakian and special para-Sasakian manifolds which are considered as special cases of an almost paracontact manifold introduced by I. Sato and K. Matsumoto ([10]). In the same paper, the authors studied conformally symmetric para-Sasakian manifolds and they proved that an ndimensional (n>3) conformally symmetric para-Sasakian manifold is conforma...
متن کاملOn $(epsilon)$ - Lorentzian para-Sasakian Manifolds
The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results.
متن کاملA Note on Rigidity of 3-Sasakian Manifolds
Making use of the relations among 3-Sasakian manifolds, hypercomplex mani-folds and quaternionic KK ahler orbifolds, we prove that complete 3-Sasakian manifolds are rigid.
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ژورنال
عنوان ژورنال: Surveys in Differential Geometry
سال: 2001
ISSN: 1052-9233,2164-4713
DOI: 10.4310/sdg.2001.v6.n1.a6