Highly Influenced

@inproceedings{Montiel1997SecondVO, title={Second Variation of Superminimal Surfaces into Self-dual Einstein Four-manifolds}, author={S. V{\'a}zquez y Montiel and Francisco Urbano}, year={1997} }

- Published 1997

The index of a compact orientable superminimal surface of a selfdual Einstein four-manifold M with positive scalar curvature is computed in terms of its genus and area. Also a lower bound of its nullity is obtained. Applications to the cases M = S4 and M = CP2 are given, characterizing the standard Veronese immersions and their twistor deformations as those with lowest index.

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