Spaces which look like quaternionic projective $n$-space
نویسندگان
چکیده
منابع مشابه
Willmore Spheres in Quaternionic Projective Space
The Willmore energy for Frenet curves in quaternionic projective space HP is the generalization of the Willmore functional for immersions into S. Critical points of the Willmore energy are called Willmore curves in HP. Using a Bäcklund transformation on Willmore curves, we generalize Bryant’s result on Willmore spheres in 3–space: a Willmore sphere in HP has integer Willmore energy, and is give...
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Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of infinite quaternionic projective space. An inte...
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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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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1982-0662054-0