Geometric realizations of generalized algebraic curvature operators

Autor: Gilkey, P., Nikcevic, S., Westerman, D.
Rok vydání: 2008
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/1.3049619
Popis: We study the 8 natural GL equivariant geometric realization questions for the space of generalized algebraic curvature tensors. All but one of them is solvable; a non-zero projectively flat Ricci antisymmetric generalized algebraic curvature is not geometrically realizable by a projectively flat Ricci antisymmetric torsion free connection.
Databáze: arXiv