Geodesic
Knotted totally geodesic submanifolds in positively curved spheres
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000), pp. 458-463.

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A diffeomorphic to sphere three-manifold of positive sectional curvature with geodesics of given torus type is constructed. 
@article{JMAG_2000_7_a5,
     author = {Alexander Reznikov},
     title = {Knotted totally geodesic submanifolds in positively curved spheres},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {458--463},
     publisher = {mathdoc},
     volume = {7},
     year = {2000},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/JMAG_2000_7_a5/}
}
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Alexander Reznikov. Knotted totally geodesic submanifolds in positively curved spheres. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000), pp. 458-463. https://geodesic-test.mathdoc.fr/item/JMAG_2000_7_a5/