A New Class of Contact Pseudo Framed Manifolds with Applications

نویسندگان

چکیده

In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by real tensor field id="M2">f type id="M3">1,1 , function id="M4">λ such that id="M5">f3=λ2f where id="M6">ξ is its characteristic vector field. We prove in our main Theorem 2 id="M7">M admits closed 2-form id="M8">Ω if id="M9">λ constant. 1976, Blair proved the id="M10">ξ normal manifold Killing. Contrary to this, have shown that, general, id="M11">ξ CPF-manifold non-Killing. also established link CPF-hypersurfaces with curvature, affine, conformal collineations symmetries, and almost Ricci soliton manifolds, supported three applications. odd-dimensional construct several examples even- semi-Riemannian lightlike CPF-manifolds propose two problems for further consideration.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2021

ISSN: ['1687-0425', '0161-1712']

DOI: https://doi.org/10.1155/2021/6141587