Geometric Realizability of Covariant Derivative K "ahler Tensors for\n almost Pseudo-Hermitian and almost Para-Hermitian Manifolds

2010/12/22 by Miguel Brozos‐Vázquez, Eduardo García‐Río, Brozos-Vázquez, Miguel +5
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1012.4964

Abstract

The covariant derivative of the K "ahler form of an almost pseudo-Hermitian\nor of an almost para-Hermitian manifold satisfies certain algebraic relations.\nWe show, conversely, that any 3-tensor which satisfies these algebraic\nrelations can be realized geometrically.\n

Citations

• Conformal equivalence between certain geometries in dimension 6 and 7

Related

• Kähler-Weyl manifolds of dimension 4
• Jordan Szabo algebraic covariant derivative curvature tensors
• Almost Quaternion-Hermitian Manifolds
• Metric Compatible Covariant Derivatives
• Geometric realizations of curvature