Abstract
We discuss codimension one isometric immersions of complete Riemannian manifolds into the projective spaces with constant holomorphic sectional curvature. Here, the shape operator and the curvature transformation with respect to the normal unit have the same eigenspaces. We then characterize the metric spheres in terms of the shape operator.
Citation
Nobuhiro Innami. Yukihiro Mashiko. Katsuhiro Shiohama. "Metric spheres in the projective spaces with constant holomorphic sectional curvature." Tsukuba J. Math. 35 (1) 79 - 90, June 2011. https://doi.org/10.21099/tkbjm/1311081450
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