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- Eguchi–Hanson_space abstract "In mathematics and theoretical physics, the Eguchi–Hanson space is a non-compact, self-dual, asymptotically locally Euclidean (ALE) metric on the cotangent bundle of the 2-sphere T*S2. The holonomy group of this 4-real-dimensional manifold is SU(2), as it is for a Calabi-Yau K3 surface. While the metric is generally attributed to the physicists Eguchi and Hanson, it was actually discovered independently by the mathematician Eugenio Calabi around the same time.The Eguchi-Hanson metric has Ricci tensor equal to zero, making it a solution to the vacuum Einstein equations of general relativity, albeit with Riemannian rather than Lorentzian metric signature. It may be regarded as a resolution of the A1 singularity according to the ADE classification which is the singularity at the fixed point of the C2/Z2 orbifold where the Z2 group inverts the signs of both complex coordinates in C2.Aside from its inherent importance in pure geometry, the space is important in string theory. Certain types of K3 surfaces can be approximated as a combination of several Eguchi–Hanson metrics.The Eguchi–Hanson metric is the prototypical example of a gravitational instanton.".
- Eguchi–Hanson_space wikiPageID "29321898".
- Eguchi–Hanson_space wikiPageLength "2228".
- Eguchi–Hanson_space wikiPageOutDegree "19".
- Eguchi–Hanson_space wikiPageRevisionID "632091275".
- Eguchi–Hanson_space wikiPageWikiLink ADE_classification.
- Eguchi–Hanson_space wikiPageWikiLink Category:Differential_geometry.
- Eguchi–Hanson_space wikiPageWikiLink Category:String_theory.
- Eguchi–Hanson_space wikiPageWikiLink Cotangent_bundle.
- Eguchi–Hanson_space wikiPageWikiLink Duality_(mathematics).
- Eguchi–Hanson_space wikiPageWikiLink Einstein_field_equations.
- Eguchi–Hanson_space wikiPageWikiLink Einsteins_equations.
- Eguchi–Hanson_space wikiPageWikiLink Geometry.
- Eguchi–Hanson_space wikiPageWikiLink Gravitational_instanton.
- Eguchi–Hanson_space wikiPageWikiLink Holonomy.
- Eguchi–Hanson_space wikiPageWikiLink Holonomy_group.
- Eguchi–Hanson_space wikiPageWikiLink K3_surface.
- Eguchi–Hanson_space wikiPageWikiLink Manifold.
- Eguchi–Hanson_space wikiPageWikiLink Mathematics.
- Eguchi–Hanson_space wikiPageWikiLink Metric_signature.
- Eguchi–Hanson_space wikiPageWikiLink Orbifold.
- Eguchi–Hanson_space wikiPageWikiLink Resolution_of_singularities.
- Eguchi–Hanson_space wikiPageWikiLink Ricci_curvature.
- Eguchi–Hanson_space wikiPageWikiLink Ricci_tensor.
- Eguchi–Hanson_space wikiPageWikiLink Self-dual.
- Eguchi–Hanson_space wikiPageWikiLink String_theory.
- Eguchi–Hanson_space wikiPageWikiLink Theoretical_physics.
- Eguchi–Hanson_space wikiPageWikiLinkText "Eguchi–Hanson space".
- Eguchi–Hanson_space hasPhotoCollection Eguchi–Hanson_space.
- Eguchi–Hanson_space wikiPageUsesTemplate Template:Differential-geometry-stub.
- Eguchi–Hanson_space wikiPageUsesTemplate Template:String-theory-stub.
- Eguchi–Hanson_space subject Category:Differential_geometry.
- Eguchi–Hanson_space subject Category:String_theory.
- Eguchi–Hanson_space comment "In mathematics and theoretical physics, the Eguchi–Hanson space is a non-compact, self-dual, asymptotically locally Euclidean (ALE) metric on the cotangent bundle of the 2-sphere T*S2. The holonomy group of this 4-real-dimensional manifold is SU(2), as it is for a Calabi-Yau K3 surface.".
- Eguchi–Hanson_space label "Eguchi–Hanson space".
- Eguchi–Hanson_space sameAs 에구치-핸슨_공간.
- Eguchi–Hanson_space sameAs m.0ds447b.
- Eguchi–Hanson_space sameAs Q5348275.
- Eguchi–Hanson_space sameAs Q5348275.
- Eguchi–Hanson_space wasDerivedFrom Eguchi–Hanson_space?oldid=632091275.
- Eguchi–Hanson_space isPrimaryTopicOf Eguchi–Hanson_space.