• Title/Summary/Keyword: semi-symmetric metric F-connection

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ALMOST α-COSYMPLECTIC f-MANIFOLDS ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Beyendi, Selahattin;Aktan, Nesip;Sivridag, Ali Ihsan
    • Honam Mathematical Journal
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    • v.42 no.1
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    • pp.175-185
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    • 2020
  • In this paper, we introduce almost α-Cosymplectic f-manifolds endowed with a semi-symmetric non-metric connection and give some general results concerning the curvature of such connection. In particular, we study some curvature properties of an almost α-cosymplectic f-manifold equipped with semi-symmetric non-metric connection.

RESULTS CONCERNING SEMI-SYMMETRIC METRIC F-CONNECTIONS ON THE HSU-B MANIFOLDS

  • Uday Chand De;Aydin Gezer;Cagri Karaman
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.837-846
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    • 2023
  • In this paper, we firstly construct a Hsu-B manifold and give some basic results related to it. Then, we address a semi-symmetric metric F-connection on the Hsu-B manifold and obtain the curvature tensor fields of such connection, and study properties of its curvature tensor and torsion tensor fields.