Kähler manifolds and the curvature operator of the second kind
نویسندگان
چکیده
This article aims to investigate the curvature operator of second kind on Kähler manifolds. The first result states that an m-dimensional manifold with $$\frac{3}{2}(m^2-1)$$ -nonnegative (respectively, -nonpositive) must have constant nonnegative nonpositive) holomorphic sectional curvature. asserts a closed $$\left( \frac{3m^3-m+2}{2m}\right) $$ -positive has positive orthogonal bisectional curvature, thus being biholomorphic $${{\mathbb {C}}}{{\mathbb {P}}}^m$$ . We also prove \frac{3m^3+2m^2-3m-2}{2m}\right) implies Ricci Our approach is pointwise and algebraic.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2023
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-023-03263-0