EJTP 9, No. 26 (2012) 199–216 Electronic Journal of Theoretical Physics Covariant Analytic Mechanics with Differential Forms and Its Application to Gravity Yasuhito Kaminaga∗ Department of Mathematics, Gunma National College of Technology, Maebashi, Gunma 371–8530, Japan Received 10 October 2011, Accepted 7 December 2011, Published 17 January 2012 Abstract: We discuss fundamentals of the covariant