QUATERNIONIC BOTT–CHERN COHOMOLOGY AND EXISTENCE OF HKT METRICS
نویسندگان
چکیده
منابع مشابه
Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
A manifold (M, I, J,K) is called hypercomplex if I, J,K are complex structures satisfying quaternionic relations. A quaternionic Hermitian hypercomplex manifold is called HKT (hyperkähler with torsion) if the (2,0)-form Ω associated with the corresponding Sp(n)-structure satisfies ∂Ω = 0. A Hermitian metric ω on a complex manifold is called balanced if d∗ω = 0. We show that balanced HKT metrics...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2017
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/haw060