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The Morse Index, Nullity and Jacobi Fields of Constant-Curvature Minimal 2-Spheres in Complex Projective Spaces
We determine the Morse index and normal nullity of all constant-curvature minimal two-spheres in complex projective spaces, identify the normal Jacobi kernel as an $\SU(2)$-module, and prove that every normal Jacobi field is integrable. The formulas include all totally geodesic extensions. In a fixe
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