α-Sasakian structure on product of a Kähler manifold and an open curve

Mollaoğulları A., Camcı Ç.

18th International Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.138

  • Publication Type: Conference Paper / Summary Text
  • City: Malatya
  • Country: Turkey
  • Page Numbers: pp.138
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

Contact geometry is a theoretical subject which has so many applications in the fields of science such as physics and engineering. From thermodynamics to optics, from electrics to motion equations, it has an important place in many areas [1]. Many studies had been carried out on almost contact, contact and Sasakian manifolds which became increasingly important in the 20th century [2]. In addition, the symplectic geometry and Kähler manifolds which have serious applications in many fields are also important topics in mathematics [3]. That’s why, it’s important to consider contact and comlex manifolds together [6, 7]. In this paper, at first, we study the product manifold of M = M1 × β(I) where M1 is almost Hermitian manifold with exact 1-form and β : I → E n is an open curve. We show that M has a contact structure. After then, by taking M1 as a Kähler manifold with exact 1-form, we establish an α-Sasakian structure on M [8, 7].