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math.DG2021
Calibrations and Energy-Minimizing Mappings of Rank-1 Symmetric Spaces
Joseph Hoisington
We prove lower bounds for energy functionals of mappings from real, complex and quaternionic projective spaces to Riemannian manifolds. For real and complex projective spaces, thes…
math.DG2021
Hypersurfaces, Geodesics and Isoperimetric Inequalities in Cartan-Hadamard Manifolds
Joseph Hoisington
We prove an inequality for submanifolds of Cartan-Hadamard manifolds, which relates the geometry of a submanifold to the measure of the geodesics in the ambient space which it inte…