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- W2015376497 abstract "In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper U left-parenthesis 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>U</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>U(1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-bundles over closed <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-manifolds with some bounds for volumes, diameters, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L squared> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>L^{2}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-norms of bundle curvatures, and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Superscript StartFraction n Over 2 EndFraction> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mfrac> <mml:mi>n</mml:mi> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>L^{frac {n}{2}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-norms of curvature tensors. This result is a generalization of earlier compactness theorems for Einstein manifolds." @default.
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- W2015376497 date "2013-12-10" @default.
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- W2015376497 title "Convergence of Einstein Yang-Mills systems" @default.
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- W2015376497 doi "https://doi.org/10.1090/s0002-9939-2013-11817-4" @default.
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