Geodesic
Classification of totally geodesic surfaces in the manifold of directions in physical space
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 163-172 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Grassmannian of bevectors over the pseudo-Euclidean Mincowski space is considered and its two-dimensional totally geodesic submanifolds are classified. The family of such surfaces is described in the language of the affine geometry of three-space. 
@article{ZNSL_2001_280_a9,
     author = {D. V. Ivanov and S. E. Kozlov},
     title = {Classification of totally geodesic surfaces in the manifold of directions in physical space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {163--172},
     year = {2001},
     volume = {280},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/}
}
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D. V. Ivanov; S. E. Kozlov. Classification of totally geodesic surfaces in the manifold of directions in physical space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 163-172. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a9/