Calibrated Submanifolds (Q5119716)

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scientific article; zbMATH DE number 7242254

Language	Label	Description	Also known as
English	Calibrated Submanifolds	scientific article; zbMATH DE number 7242254

Statements

scholarly article

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Calibrated Submanifolds (English)

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Lectures and Surveys on G2-Manifolds and Related Topics

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publication date

1 September 2020

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full work available at URL

https://arxiv.org/abs/1810.08709

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zbMATH Keywords

\(\mathrm{G}_2\) manifolds

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\(\mathrm{Spin}(7)\) manifolds

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minimal submanifolds

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special Lagrangians

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Jason Dean Lotay

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Embedded minimal tori in \(S^3\) and the Lawson conjecture

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Submanifolds and special structures on the octonians

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Calibrated embeddings in the special Lagrangian and coassociative cases

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On the construction of some complete metrics with exceptional holonomy

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Deformations of minimal Lagrangian submanifolds with boundary

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Regularizing a singular special Lagrangian variety

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MINIMAL LAGRANGIAN 2-TORI IN $\mathbb{CP}^2$ COME IN REAL FAMILIES OF EVERY DIMENSION

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\(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds

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Coassociative cones ruled by 2-planes

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Cayley cones ruled by 2-planes: desingularization and implications of the twistor fibration

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SMOOTH MODULI SPACES OF ASSOCIATIVE SUBMANIFOLDS

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Deformations of associative submanifolds with boundary

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Calibrated fibrations on noncompact manifolds via group actions

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Calibrated geometries

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Special Lagrangian cones

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The geometric complexity of special Lagrangian \(T^2\)-cones

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Special Lagrangian cones with higher genus links

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The inverse mean curvature flow and the Riemannian Penrose inequality

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Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in \(\mathbb{C}^m\)

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Second order families of special Lagrangian submanifolds in \(\mathbb{C}^4\)

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Bundle constructions of calibrated submanifolds in \(\mathbb R^7\) and \(\mathbb R^8\)

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Cohomogeneity one special Lagrangian 3-folds in the deformed and the resolved conifolds

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Density of minimal hypersurfaces for generic metrics

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Evolution equations for special Lagrangian 3-folds in \(\mathbb C^3\)

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Constructing special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) by evolving quadrics

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RULED SPECIAL LAGRANGIAN 3-FOLDS IN [Copf ]<sup>3</sup>

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Special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) with symmetries

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Special Lagrangian submanifolds with isolated conical singularities. V: Survey and applications.

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Special Lagrangian submanifolds with isolated conical singularities. II: Moduli spaces

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Special Lagrangian submanifolds with isolated conical singularities. III: Desingularization, the unobstructed case

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Special Lagrangian submanifolds with isolated conical singularities. IV: Desingularization, obstructions and families

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U(1)-invariant special Lagrangian 3-folds. I: Nonsingular solutions

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U(1)-invariant special Lagrangian 3-folds. II: Existence of singular solutions

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U(1)-invariant special Lagrangian 3-folds. III: Properties of singular solutions

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Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary

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Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections

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Calibrated subbundles in noncompact manifolds of special holonomy

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Deformations of compact coassociative 4-folds with boundary

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The angle criterion

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Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system

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Embedded special Lagrangian submanifolds in Calabi-Yau manifolds

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Constructing associative 3-folds by evolution

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2-RULED CALIBRATED 4-FOLDS IN ${\mathbb{R}}^7$ AND ${\mathbb{R}}^8$

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CALIBRATED SUBMANIFOLDS OF ℝ7 AND ℝ8 WITH SYMMETRIES

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Coassociative 4-folds with conical singularities

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Deformation theory of asymptotically conical coassociative 4-folds

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Desingularization of coassociative 4-folds with conical singularities

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ASYMPTOTICALLY CONICAL ASSOCIATIVE 3-FOLDS

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Ruled Lagrangian submanifolds of the 6-sphere

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Associative submanifolds of the 7-sphere

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Stability of coassociative conical singularities

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Desingularization of coassociative 4-folds with conical singularities: Obstructions and applications

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Min-max theory and the Willmore conjecture

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Existence of infinitely many minimal hypersurfaces in positive Ricci curvature

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SPECIAL LAGRANGIAN CONES IN $\C^3$ AND PRIMITIVE HARMONIC MAPS

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Deformations of calibrated submanifolds

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Cayley deformations of compact complex surfaces

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Deformations of conically singular Cayley submanifolds

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Multiple integrals in the calculus of variations

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Special Lagrangian conifolds, I: moduli spaces

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Special Lagrangian conifolds, II: gluing constructions in ℂ<sup> <i>m</i> </sup>

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On the proof of the positive mass conjecture in general relativity

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Ricci-flat metrics on the complexification of a compact rank one symmetric space

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Identifiers

zbMATH Open document ID

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10.1007/978-1-0716-0577-6_3

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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:5119716

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