Riemannian Maps Satisfying DDVV-Type Inequality
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Abstract
This paper establishes DDVV-type curvature inequalities for Riemannian maps into generalized complex space forms. Using the Gauss and Ricci equations, we relate intrinsic curvature invariants of the domain manifold to extrinsic invariants of the map and discuss the equality cases. The results extend known curvature inequalities from submanifold theory to the setting of Riemannian maps.
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