On local isometric immersions into complex and quaternionic projective spaces
Peer reviewed, Journal article
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Original versionArchivum mathematicum. 2011, 47 (4), 251-256.
We will prove that if an open subset of CPn is isometrically immersed into CPm, with m < (4/3)n−2/3, then the image is totally geodesic.We will also prove that if an open subset of HPn isometrically immersed into HPm, with m < (4/3)n − 5/6, then the image is totally geodesic