This paper investigates warped product minimal submanifolds immersed in spheres, suggesting new insights into their geometry and topology.
In this paper, we investigate the geometry and topology of compact warped product minimal submanifolds of arbitrary codimension immersed in a sphere. These submanifolds satisfy a specific pinching condition relating the length and Laplacian of the warping function to the dimensions of the warped product. Our results extend previous work on minimal immersions into the sphere.
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Alghamdi et al. (2025) studied this question.
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