Surfaces minimizing area in their homology class and group actions on 3- manifolds

DOI10.1007/BF01161639zbMath0715.57005OpenAlexW2065286303MaRDI QIDQ752547

Joel Hass

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/173982

zbMATH Keywords

free finite group actions on Haken manifoldsinvariant homology classirreducible 3-manifold with infinite fundamental groupsurfaces minimizing area in homology classes

Mathematics Subject Classification ID

Finite transformation groups (57S17)

Related Items

Surfaces in 3-manifolds: Group actions on surface bundles ⋮ Virtually Haken fillings and semi-bundles ⋮ Harmonic maps 𝐌³→𝐒¹ and 2-cycles, realizing the Thurston norm ⋮ Macroscopic scalar curvature and areas of cycles ⋮ Unstable minimal surfaces and Heegaard splittings ⋮ Norms on the cohomology of hyperbolic 3-manifolds ⋮ Non-simple geodesics in hyperbolic 3-manifolds ⋮ ℤ₂-equivariant hierarchies of irreducible 3-manifolds containing two-sided projective planes ⋮ On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds ⋮ Normal surfaces minimizing weight in a homology class ⋮ Uniqueness of area minimizing surfaces for extreme curves

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