Calibrations and Energy-Minimizing Mappings of Rank-1 Symmetric Spaces
Calibrations and Energy-Minimizing Mappings of Rank-1 Symmetric Spaces
We prove lower bounds for energy functionals of mappings from real, complex and quaternionic projective spaces with their canonical (symmetric space) metrics to Riemannian manifolds. We show that these results for complex projective space extend to all K\"ahler manifolds biholomorphic to $\C P^{N}$. For real and complex projective spaces, these …