THE CURVATURE OF A HESSIAN METRIC

DOI10.1142/S0129167X04002338zbMath1058.53032arXivmath/0401381MaRDI QIDQ4809780

Burt Totaro

Publication date: 30 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401381

zbMATH Keywords

Kähler moduliHessian metriccentroaffine metricClebsch covariant

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Laplace, Einstein and related equations on \(D\)-general warping, Curvature measures of pseudo-Riemannian manifolds, Geodesic Walks in Polytopes, On a class of three-dimensional integrable Lagrangians, Selfsimilar Hessian manifolds, Self-similar Hessian and conformally Kähler manifolds, Conelike radiant structures, Properties of the moduli set of complete connected projective special real manifolds, Convergence of the Hesse-Koszul flow on compact Hessian manifolds, Randers metrics based on deformations by gradient winds, Asymptotic curvature of moduli spaces for Calabi-Yau threefolds, Hessian geometry on Lagrange spaces, Sectional curvatures of Kähler moduli, Implications of energy conditions on standard static space-times, The dually flat structure for singular models, Unnamed Item, Conformal transformations of the pseudo‐Riemannian metric of a homogeneous pair, Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures

Cites Work

• On Hessian Riemannian structures
• Geometry of Hessian manifolds
• Affine spheres and Kähler-Einstein metrics.
• Polar covariants of plane cubics and quartics
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
• Hyperbolic affine hyperspheres
• Barrier Functions in Interior Point Methods
• Hyperbolic Polynomials and Interior Point Methods for Convex Programming