In analogy to an inequality of Chen [2], Scharlach and co-workers [7] have found a new, optimal inequality for (equi-) affine spheres. We classify those three-dimensional hyperbolic affine spheres for which the corresponding equality is assumed. This complements the classification of the elliptic case [3].
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Univ Montpellier, CNRS, LMGC, Montpellier, France
CEA, DEN, DEC, SA3E,LCU, F-13108 St Paul Les Durance, FranceUniv Montpellier, CNRS, LMGC, Montpellier, France
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Univ Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, EnglandUniv Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England
Liu, Yanyan
Yanagishima, Taiki
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Univ Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England
Univ Tokyo, Inst Ind Sci, Tokyo, JapanUniv Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England
Yanagishima, Taiki
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Curran, Arran
Edmond, Kazem V.
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Univ Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, EnglandUniv Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England
Edmond, Kazem V.
Sacanna, Stefano
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NYU, Dept Chem, Mol Design Inst, New York, NY 10003 USAUniv Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England
Sacanna, Stefano
Dullens, Roel P. A.
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Univ Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, EnglandUniv Oxford, Dept Chem, Phys & Theoret Lab, South Parks Rd, Oxford OX1 3QZ, England