Contents of Volume 69
PDEs, Submanifolds and Affine Differential Geometry
Editors: Barbara Opozda, Udo Simon and Martin Wiehe
doi:10.4064/bc69
Editors: Barbara Opozda, Udo Simon and Martin Wiehe
doi:10.4064/bc69
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Variational problems and PDEs in affine differential geometry Banach Center Publications 69 (2005), 9-41 MSC: 53A15, 49Q05, 53C42. DOI: 10.4064/bc69-0-1
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Affine maximal hypersurfaces Banach Center Publications 69 (2005), 43-65 MSC: 53A15, 49Q05, 53C42. DOI: 10.4064/bc69-0-2
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Topology and geometry of complete submanifolds in euclidean spaces Banach Center Publications 69 (2005), 67-80 MSC: Primary 53C42; Secondary 53C20. DOI: 10.4064/bc69-0-3
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A variational solution of the A. D. Aleksandrov problem of existence of a convex polytope with prescribed Gauss curvature Banach Center Publications 69 (2005), 81-90 MSC: Primary 53C45, 49K20; Secondary 35J65. DOI: 10.4064/bc69-0-4
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The gaps in the spectrum of the Schrödinger operator Banach Center Publications 69 (2005), 91-102 MSC: Primary 35P15; Secondary 58G25. DOI: 10.4064/bc69-0-5
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Bäcklund transforms of conformal maps into the 4-sphere Banach Center Publications 69 (2005), 103-118 MSC: Primary 53C42; Secondary 53Axx. DOI: 10.4064/bc69-0-6
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Families of congruent submanifolds Banach Center Publications 69 (2005), 119-132 MSC: Primary 53C35; Secondary 53C17. DOI: 10.4064/bc69-0-7
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Curvature conditions on hypersurfaces with two distinct principal curvatures Banach Center Publications 69 (2005), 133-143 MSC: Primary 53B20, 53B25; Secondary 53C25. DOI: 10.4064/bc69-0-8
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On some class of hypersurfaces with three distinct principal curvatures Banach Center Publications 69 (2005), 145-156 MSC: Primary 53B20, 53B25; Secondary 53C25. DOI: 10.4064/bc69-0-9
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Improper affine spheres and $\delta$-invariants Banach Center Publications 69 (2005), 157-162 MSC: Primary 53A15, 53B20, 53B25; Secondary 53C40. DOI: 10.4064/bc69-0-10
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Some results on projectively flat affine surfaces Banach Center Publications 69 (2005), 163-169 MSC: Primary 53A15; Secondary 53B20, 53B30. DOI: 10.4064/bc69-0-11
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Invariance groups of relative normals Banach Center Publications 69 (2005), 171-178 MSC: Primary 53A15; Secondary 53A10. DOI: 10.4064/bc69-0-12
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Traceless cubic forms on statistical manifolds and Tchebychev geometry Banach Center Publications 69 (2005), 179-187 MSC: Primary 53A15; Secondary 53A30, 53B05, 53B25. DOI: 10.4064/bc69-0-13
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Some remarks on the Kozlowski-Simon conjecture for affine ovaloids Banach Center Publications 69 (2005), 189-193 MSC: 53C21, 53C42, 53A15. DOI: 10.4064/bc69-0-14
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The spectral geometry of the Weyl conformal tensor Banach Center Publications 69 (2005), 195-203 MSC: Primary 53B20. DOI: 10.4064/bc69-0-15
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A characterization of $n$-dimensional hypersurfaces in $R^{n+1}$ with commuting curvature operators Banach Center Publications 69 (2005), 205-209 MSC: 53B20, 53B21. DOI: 10.4064/bc69-0-16
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On almost cosymplectic $(\kappa,\mu,\nu)$-spaces Banach Center Publications 69 (2005), 211-220 MSC: Primary 53C25; Secondary 53D15. DOI: 10.4064/bc69-0-17
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Algebraic representation formulas for null curves in ${\rm Sl}(2,{\Bbb C})$ Banach Center Publications 69 (2005), 221-242 MSC: Primary 53A10; Secondary 53C42, 68U05. DOI: 10.4064/bc69-0-18
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On the measurability of sets of pairs of straight lines in the simply isotropic space Banach Center Publications 69 (2005), 243-256 MSC: Primary 53C65. DOI: 10.4064/bc69-0-19
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A naive-topological study of the contiguity relations for hypergeometric functions Banach Center Publications 69 (2005), 257-268 MSC: Primary 33C05. DOI: 10.4064/bc69-0-20
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Corrections to my paper “On the geometry of convex reflectors” (Banach Center Publ. 57 (2002), 155–169) Banach Center Publications 69 (2005), 269-270 MSC: 52A20, 53C45, 78A05. DOI: 10.4064/bc69-0-21