Geometry of almost-product Lorentzian manifolds and relativistic observer

TL;DR

This paper explores the geometric structure of almost-product Lorentzian manifolds in the context of relativistic observers, connecting physical properties with mathematical classifications.

Contribution

It links the concept of relativistic observers with Naveira's classification of almost-product structures on space-time manifolds, providing a geometric perspective.

Findings

Relativistic observers correspond to specific almost-product structures.

Physical properties are related to geometric classifications.

The paper offers a framework connecting physics and differential geometry.

Abstract

The notion of relativistic observer is confronted with Naveira's classification of (pseudo-)Riemannian almost-product structures on space-time manifolds. Some physical properties and their geometrical counterparts are shortly discussed.