Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 43
2010-03 発行

Geometry of geodesic spheres in a complex projective space

Maeda, Sadahiro
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A geodesic sphere G(γ) of radius γ (0 < γ < π/√c ) of a complex projecive space CPn(c) is one of the most interesting objects in differential geometry.
This expository paper consists of two parts. In the first half, we study curve theory on G(γ) (see [4, 9]). In the latter half, we investigate G(γ) from the viewpoint of submanifold theory ([2, 11]).