Geodesic
Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups
Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 107-125

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We consider a model example of noncontact mappings of Heisenberg groups where the dimension of the source space is greater than the dimension of the target space. We derive metric properties of level surfaces and prove an analog of the coarea formula. 
@article{MT_2022_25_2_a3,
     author = {M. B. Karmanova},
     title = {Sub-riemannian properties of the level sets of noncontact mappings of {Heisenberg} groups},
     journal = {Matemati\v{c}eskie trudy},
     pages = {107--125},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2022_25_2_a3/}
}
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M. B. Karmanova. Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups. Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 107-125. http://geodesic.mathdoc.fr/item/MT_2022_25_2_a3/