The Morse Index, Nullity and Jacobi Fields of Constant-Curvature Minimal 2-Spheres in Complex Projective Spaces
Year: 2026
Type: preprint
Abstract: 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 fixed ambient space, the normal nullity is constant along each Veronese sequence.
Source: arXiv (Cornell University)
Authors: Cui, Hongbin, Huang, Shuping
Institution: University of Science and Technology of China
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7206214892