Research article

A characterization for totally real submanifolds using self-adjoint differential operator

  • Received: 29 August 2021 Accepted: 26 September 2021 Published: 30 September 2021
  • MSC : 53C05, 53C20, 53C40

  • In this article, we study totally real submanifolds in Kaehler product manifold with constant scalar curvature using self-adjoint differential operator $ \Box $. Under this setup, we obtain a characterization result. Moreover, we discuss $ \delta- $invariant properties of such submanifolds and get an obstruction result as an application of the inequality derived. The results in the article are supported by non-trivial examples.

    Citation: Mohd. Aquib, Amira A. Ishan, Meraj Ali Khan, Mohammad Hasan Shahid. A characterization for totally real submanifolds using self-adjoint differential operator[J]. AIMS Mathematics, 2022, 7(1): 104-120. doi: 10.3934/math.2022006

    Related Papers:

  • In this article, we study totally real submanifolds in Kaehler product manifold with constant scalar curvature using self-adjoint differential operator $ \Box $. Under this setup, we obtain a characterization result. Moreover, we discuss $ \delta- $invariant properties of such submanifolds and get an obstruction result as an application of the inequality derived. The results in the article are supported by non-trivial examples.



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