Geometry of Hessian manifolds
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Publication:1385078
DOI10.1016/S0926-2245(96)00057-5zbMath0910.53034WikidataQ115337567 ScholiaQ115337567MaRDI QIDQ1385078
Publication date: 15 April 1999
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Affine differential geometry (53A15)
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Cites Work
- Compact locally Hessian manifolds
- Vanishing theorems for compact Hessian manifolds
- Homogeneous Hessian manifolds
- Level surfaces of non-degenerate functions in \(\mathbb{R}^{n+1}\)
- Harmonicity of gradient mappings of level surfaces in a real affine space
- Hessian manifolds of constant Hessian sectional curvature
- Differential-geometrical methods in statistics
- Sur les variétés analytiques complexes
- Unnamed Item
- Unnamed Item
- Unnamed Item
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