Cycles of least mass in a Riemannian manifold, described through the ``phase transition energy of the sections of a line bundle

DOI10.1007/PL00004631zbMath0948.49024OpenAlexW2037050639WikidataQ115390571 ScholiaQ115390571MaRDI QIDQ1808243

Sisto Baldo, Giandomenico Orlandi

Publication date: 6 December 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004631

zbMATH Keywords

convergenceRiemannian manifoldvariational problemsPoincaré dualStiefel-Whitney class\(\Gamma\)-convergencecycles of least massphase transition energy

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Integral geometry (53C65) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation ⋮ Codimension one minimal cycles with coefficients in \(Z\) or \(Z_p\), and variational functionals on fibered spaces

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