Physical Degrees of Freedom of the Relativistic Fluid on K\"{a}hler Manifolds in the Symplectic Projector Approach

TL;DR

This paper investigates the physical degrees of freedom of a relativistic fluid on Kähler manifolds using the symplectic projector approach, aiming to deepen understanding of fluid dynamics in complex geometric settings.

Contribution

It introduces a novel application of the symplectic projector method to relativistic fluids on Kähler manifolds, expanding the theoretical framework for such systems.

Findings

Analysis of the physical degrees of freedom in the relativistic fluid.

Application of the symplectic projector approach to complex geometric settings.

Further detailed study reported in subsequent work.

Abstract

The paper has been withdrawn because of a more complete analysis of the relativistic fluid including the quantization reported in arxiv:0801.3032 [hep-th].