Abstract
We obtain new lower bounds on the codimension of local isometric imbeddings of complex and quaternion projective spaces. We show that any open set of the complex projective space $P^n(\pmb{C})$ (resp. quaternion projective space $P^n(\pmb{H})$) cannot be locally isometrically imbedded into the euclidean space of dimension $4n-3$ (resp. $8n-4$). These estimates improve the previously known results obtained in [2] and [7].
Citation
Yoshio AGAOKA. Eiji KANEDA. "A lower bound for the class number of $P^n(\pmb{C})$ and $P^n(\pmb{H})$." Hokkaido Math. J. 35 (4) 753 - 766, November 2006. https://doi.org/10.14492/hokmj/1285766428
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