scientific article; zbMATH DE number 903657

zbMath0911.53002MaRDI QIDQ4885272

Jean-Pierre Bourguignon

Publication date: 5 May 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symplectic geometrymirror symmetryRicci curvatureKähler-Einstein metricYang-Mills theoryMonge-Ampère equationCalabi-Yau manifoldK3 surfaceKähler metricextremal Kähler metrichyper-Kähler metric

Mathematics Subject Classification ID

Topology of analytic spaces (32C18) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Biographies, obituaries, personalia, bibliographies (01A70) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) History of differential geometry (53-03) Compact Kähler manifolds: generalizations, classification (32J27) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Can one define geometry today? ⋮ Extremal Kähler metrics and Hamiltonian functions

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