%0 Journal Article
%T Tensor-Centric Warfare IV: Kähler Dynamics of Battlefields
%A Vladimir Ivancevic
%A Darryn Reid
%A Peyam Pourbeik
%J Intelligent Control and Automation
%P 123-146
%@ 2153-0661
%D 2018
%I Scientific Research Publishing
%R 10.4236/ica.2018.94010
%X This paper presents the complex dynamics synthesis of the combat dy-namics series called tensor-centric warfare (TCW; for the first three parts of the series, see [1] [2] [3]), which includes tensor generalization of classical Lanchester-type combat equations, entropic Lie-dragging and commutators for modeling warfare uncertainty and symmetry, and various delta-strikes and missiles (both deterministic and random). The present paper gives a unique synthesis of the Red vs. Blue vectorfields into a single complex battle-vectorfield, using dynamics on Kähler manifolds as a rigorous framework for extending the TCW concept. The global Kähler dynamics framework, with its rigorous underpinning called the Kähler-Ricci flow, provides not only a new insight into the ¡°geometry of warfare¡±, but also into the ¡°physics of warfare¡±, in terms of Lagrangian and Hamiltonian structures of the battlefields. It also provides a convenient and efficient computational framework for entropic wargaming.
%K Tensor-Centric Warfare
%K Kä
%K hler Geometry
%K Complex Battle-Vectorfield
%K Lagrangian and Hamiltonian Battlefields
%K Kä
%K hler-Ricci Flow
%K Entropic Computational Wargaming
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=88506