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Totally real flat minimal surfaces in the hyperquadric - MaRDI portal

Totally real flat minimal surfaces in the hyperquadric (Q6074613)

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scientific article; zbMATH DE number 7749443

Language	Label	Description	Also known as
English	Totally real flat minimal surfaces in the hyperquadric	scientific article; zbMATH DE number 7749443

Statements

scholarly article

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Totally real flat minimal surfaces in the hyperquadric (English)

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Mathematische Nachrichten

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publication date

12 October 2023

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full work available at URL

https://arxiv.org/abs/2001.02432

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zbMATH Keywords

complex hyperquadric

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minimal surfaces

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totally real hypersurfaces

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Clifford solutions

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harmonic maps

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MaRDI profile type

MaRDI publication profile

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The explicit construction of all harmonic two-spheres in G2 (Rn).

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On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)

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Minimal surfaces in ℂ<i>P<sup>n</sup></i> with constant curvature and Kähler angle

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Minimal Surfaces of Constant Curvature in S n

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The construction of harmonic maps into complex Grassmannians

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Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)

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Minimal Surfaces by Moving Frames

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Harmonic maps of the two-sphere into a complex Grassmann manifold. II

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Structure of minimal 2-spheres of constant curvature in the complex hyperquadric

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Local rigidity of minimal surfaces in a hyperquadric \(Q_2\)

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Families of flat minimal tori in \(\mathbb{C} P^ n\)

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Holomorphic curves in the complex quadric

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On minimal two-spheres immersed in complex Grassmann manifolds with parallel second fundamental form

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Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\)

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On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form

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On minimal immersions of \(R^ 2\) into \(P^ n(C)\)

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Minimal Lagrangian submanifolds of the complex hyperquadric

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Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\)

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Cyclic properties of the harmonic sequence of surfaces in \(\mathbb{C} P^ n\)

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Diagrams and harmonic maps, revisited

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Minimal two-spheres with constant curvature in the complex hyperquadric

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Harmonic maps into Lie groups (classical solutions of the chiral model)

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Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds

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Harmonic maps of the two-sphere into the complex hyperquadric

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The explicit construction and parametrization of all harmonic maps from the two-sphere to a complex Grassmannian.

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Identifiers

zbMATH Open document ID

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10.1002/mana.202100482

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6074613

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