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ON GENERALIZED CURVATURE EQUALITY AND INEQUALITY FOR SEQUENTIAL WARPED PRODUCT SUBMANIFOLDS

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Abstract

The present article deals with the study of generalized curvature equality and inequality. We first derive equality involving mean curvature vector and second fundamental form for sequential warped product submanifolds of a nearly Kähler manifold and then present Lawson-Simons type inequality (Lawson and Simons, Ann. of Math. 98:427–450, 1973) in generalized complex space form that extends the result derived by Sahin in Sahin (Period Math. Hung., 2021). Meanwhile, some special cases and a numerical example in support of inequality are also discussed.

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Authors and Affiliations

  1. Srinivasa Ramanujan Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, 176215, Himachal Pradesh, India

    Anuj Kumar

  2. Department of Mathematics, AIT-CSE, University Institute of Science, Chandigarh University, Mohali, Punjab, 140413, India

    Anil Sharma

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  1. Anuj Kumar
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Correspondence to Anil Sharma.

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Kumar, A., Sharma, A. ON GENERALIZED CURVATURE EQUALITY AND INEQUALITY FOR SEQUENTIAL WARPED PRODUCT SUBMANIFOLDS. J Math Sci 271, 354–367 (2023). https://doi.org/10.1007/s10958-023-06510-1

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  • DOI: https://doi.org/10.1007/s10958-023-06510-1

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