Geodesic
Geometry of supergravity and super-Schubert cells
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 160-176

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An extension of Penrose model for superspaees with $N$-extended supersymmetry is described. Geometry of super-Schubert cells of complex super-flag manifolds is used as a source of invariant constraints, Lagrangian and dynamical equations for supergravity models. 
@article{ZNSL_1984_133_a11,
     author = {Yu. I. Manin},
     title = {Geometry of supergravity and {super-Schubert} cells},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {160--176},
     publisher = {mathdoc},
     volume = {133},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a11/}
}
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Yu. I. Manin. Geometry of supergravity and super-Schubert cells. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 160-176. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a11/