Formality of 7-dimensional 3-Sasakian manifolds
نویسندگان
چکیده
منابع مشابه
On Formality of Sasakian Manifolds
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (than three) Massey products on any compact Sasakian manifold vanish. Hence, higher Massey products do obstruct Sasakian structures. Using this we produce a method of constructing simply connected K-contact non-Sasakia...
متن کاملThe 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...
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.
متن کاملTrans-sasakian Manifolds
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...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2019
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201702_015