Search Results - "Tassi, Marcos P."
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1
Analytic saddle spheres in S3 are equatorial
Published in Mathematische annalen (2024)“…A theorem by Almgren establishes that any minimal 2-sphere immersed in S 3 is a totally geodesic equator. In this paper we give a purely geometric extension of…”
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2
A quasiconformal Hopf soap bubble theorem
Published in Calculus of variations and partial differential equations (01-08-2022)“…We show that any compact surface of genus zero in R 3 that satisfies a quasiconformal inequality between its principal curvatures is a round sphere. This…”
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3
Analytic saddle spheres in $$\mathbb {S}^3$$ are equatorial
Published in Mathematische annalen (01-08-2024)“…Abstract A theorem by Almgren establishes that any minimal 2-sphere immersed in $$\mathbb {S}^3$$ S 3 is a totally geodesic equator. In this paper we give a…”
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4
Complete surfaces of constant anisotropic mean curvature
Published in Advances in mathematics (New York. 1965) (01-09-2023)“…We study the geometry of complete immersed surfaces in R3 with constant anisotropic mean curvature (CAMC). Assuming that the anisotropic functional is…”
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5
Analytic saddle spheres in $\mathbb{S}^3$ are equatorial
Published 30-03-2023“…A theorem by Almgren establishes that any minimal $2$-sphere immersed in $\mathbb{S}^3$ is a totally geodesic equator. In this paper we give a purely geometric…”
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6
A quasiconformal Hopf soap bubble theorem
Published 23-03-2021“…We show that any compact surface of genus zero in Euclidean 3-space that satisfies a quasiconformal inequality between its principal curvatures is a round…”
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7
Complete surfaces of constant anisotropic mean curvature
Published 04-12-2019“…We study the geometry of complete immersed surfaces in $\mathbb{R}^3$ with constant anisotropic mean curvature (CAMC). Assuming that the anisotropic functional…”
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Journal Article