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Research Article | Open Access

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

Mohd. Aquib1, Amira A. Ishan2( ), Meraj Ali Khan3, Mohammad Hasan Shahid4
Department of Mathematics, Sri Venkateshwara College, University of Delhi, New Delhi 110021, India
Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Department of Mathematics, University of tabuk, Tabuk, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi 110025, India
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Abstract

In this article, we study totally real submanifolds in Kaehler product manifold with constant scalar curvature using self-adjoint differential operator ◻. Under this setup, we obtain a characterization result. Moreover, we discuss δ −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.

Keywords

totally real submanifoldsself-adjoint differential operatorKaehler product manifoldδ−invariant
CLC number: 53C05, 53C20, 53C40

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 104-120
DOI: 10.3934/math.2022006

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Cite this article:
Aquib M, Ishan AA, Khan MA, et al. A characterization for totally real submanifolds using self-adjoint differential operator. AIMS Mathematics, 2022, 7(1): 104-120. https://doi.org/10.3934/math.2022006

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Received: 29 August 2021
Accepted: 26 September 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)