On Local Isometric Immersions into Complex and Quaternionic Projective Spaces
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چکیده
We will prove that if an open subset of CPn is isometrically immersed into CPm, withm < (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.
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تاریخ انتشار 2012