most citedVector fields with big and small volume on the 2-sphere

1 citations

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4 papers

math.AC2022★ 1 cited

Artinian Gorenstein algebras of embedding dimension four and socle degree three

Pedro Macias Marques, Oana Veliche, Jerzy Weyman

We prove that in the polynomial ring , with an algebraically closed field of characteristic zero, all Gorenstein homogeneous ideals such tha…

math.DG2021★ 1 cited

Vector fields with big and small volume on the 2-sphere

Rui Albuquerque

We consider the problem of minimal volume vector fields on a given Riemann surface, specialising on the case of , that is, the arbitrary radius 2-sphere with two antipodal…

math.DG2021

The volume of a unit vector field in 2 dimensions via calibrations

Rui Albuquerque

We use the theory of calibrations to write the equation of a minimal volume vector field on a given Riemann surface.

math.DG2021

New Hsiung-Minkowski identities

R. Albuquerque

We find the first three most general Minkowski or Hsiung-Minkowski identities relating the total mean curvatures , of degrees , of a closed hypersurface immersed…