Compact hypercomplex and quaternionic manifolds
نویسندگان
چکیده
منابع مشابه
Institute for Mathematical Physics Hypercomplex Structures Associated to Quaternionic Manifolds Hypercomplex Structures Associated to Quaternionic Manifolds
If M is a quaternionic manifold and P is an S 1-instanton over M , then Joyce constructed a hypercomplex manifold we call P (M) over M. These hypercomplex manifolds admit a U(2)-action of a special type permuting the complex structures. We show that up to double covers, all such hypercomplex manifolds arise in this way. Examples, including that of a hypercomplex structure on SU(3), show the nec...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1992
ISSN: 0022-040X
DOI: 10.4310/jdg/1214448266