A formalism for the study of Natural Tensors Fields of type (0,2) on Manifolds and Fibrations

2008/12/11 by Henry, Guillermo
#53A55 #53B21 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0812.2062

Abstract

In order to study tensor fields of type (0,2) on manifolds and fibrations we introduce the notion of s-spaces. With the help of these objects we generalized the concept of natural tensor without making use of the theory of natural operators and differential invariants.

Related

• On invariant operations of Fedosov structures
• Operator-Valued Tensors on Manifolds: A Framework for Field Quantization
• Invariant tensors related with natural connections for a class Riemannian product manifolds
• Nonlinear tensor distributions on Riemannian manifolds
• Remarks on natural differential operators with tensor fields