Abstract
We provide a qualitative description for the solutions of Euler-Lagrange equations associated to Lagrangians with linear and quadratic constraints. An important role is played by the natural metric induced by the Heisenberg manifold. In the second part we arrive at a formula which is the analog for the Gauss’ formula for the Heisenberg group.
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Calin, O., Mangione, V. Geodesics with constraints on Heisenberg manifolds. Results. Math. 44, 44–53 (2003). https://doi.org/10.1007/BF03322912
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DOI: https://doi.org/10.1007/BF03322912