L\"owner's conjecture, the~Besicovitch barrel, and relative systolic geometry
Sbornik. Mathematics, Tome 193 (2002) no. 4, pp. 473-486

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The paper is devoted to relative systolic geometry on a compact manifold with boundary. Sufficient conditions ensuring the intersystolic rigidity or intersystolic softness of such manifolds are analyzed. Several open questions are formulated.
@article{SM_2002_193_4_a0,
     author = {I. K. Babenko},
     title = {L\"owner's conjecture, {the~Besicovitch} barrel, and relative systolic geometry},
     journal = {Sbornik. Mathematics},
     pages = {473--486},
     publisher = {mathdoc},
     volume = {193},
     number = {4},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_4_a0/}
}
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I. K. Babenko. L\"owner's conjecture, the~Besicovitch barrel, and relative systolic geometry. Sbornik. Mathematics, Tome 193 (2002) no. 4, pp. 473-486. http://geodesic.mathdoc.fr/item/SM_2002_193_4_a0/