On the Curvature Properties of Manifolds with Deformed G (2) Structures
| Autor: | Sayım Aktay, N. Özdemir |
|---|---|
| Přispěvatelé: | Anadolu Üniversitesi |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Unit sphere
Curvature Group (mathematics) General Mathematics 010102 general mathematics Mathematical analysis Structure (category theory) 01 natural sciences Manifold Killing vector field symbols.namesake 0103 physical sciences symbols Mathematics::Differential Geometry 010307 mathematical physics 0101 mathematics Einstein Unit (ring theory) G(2)-Structure Mathematics |
| Popis: | WOS: 000430553100010 In this paper, we study the curvature properties of a manifold with structure group G (2) whose fundamental 3-form is deformed by a Killing vector field of unit length. We obtain some results concerning conditions under which this manifold is flat, Einstein, or isometric to the unit sphere. |
| Databáze: | OpenAIRE |
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