Geodesic
Classification of two-dimensional totally geodesic submanifolds in the Grassmannian $G_{3,6}^+$
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 162-180

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The classification mentioned in the title is explicitly described. Bibl. – 9 titles. 
@article{ZNSL_2008_353_a15,
     author = {M. Yu. Nikanorova},
     title = {Classification of two-dimensional totally geodesic submanifolds in the {Grassmannian} $G_{3,6}^+$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {162--180},
     publisher = {mathdoc},
     volume = {353},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a15/}
}
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M. Yu. Nikanorova. Classification of two-dimensional totally geodesic submanifolds in the Grassmannian $G_{3,6}^+$. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 10, Tome 353 (2008), pp. 162-180. http://geodesic.mathdoc.fr/item/ZNSL_2008_353_a15/