Laplacian Flow for Closed $$\mathrm{G}_2$$ Structures
From MaRDI portal
Publication:5119724
DOI10.1007/978-1-0716-0577-6_11zbMath1447.53008OpenAlexW3028985372MaRDI QIDQ5119724
No author found.
Publication date: 1 September 2020
Published in: Lectures and Surveys on G2-Manifolds and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-0716-0577-6_11
Calibrations and calibrated geometries (53C38) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) (G)-structures (53C10) Geometric evolution equations (53E99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On type-I singularities in Ricci flow
- Soliton solutions for the Laplacian co-flow of some \(G_2\)-structures with symmetry
- \(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
- Laplacian flow for closed \(\mathrm{G}_{2}\) structures: Shi-type estimates, uniqueness and compactness
- Riemannian manifolds with structure group \(G_ 2\)
- Perelman's lambda-functional and the stability of Ricci-flat metrics
- An example of a compact calibrated manifold associated with the exceptional Lie group \(G_ 2\)
- Real analyticity of solutions of Hamilton's equation
- A family of compact solvable \(G_ 2\)-calibrated manifolds
- Metrics with exceptional holonomy
- Deforming the metric on complete Riemannian manifolds
- The geometry of three-forms in six dimensions.
- Laplacian solitons on nilpotent Lie groups
- Hypersymplectic 4-manifolds, the \(G_2\)-Laplacian flow, and extension assuming bounded scalar curvature
- Stability of torsion-free \(\text{G}_2\) structures along the Laplacian flow
- A heat flow for special metrics
- On the construction of some complete metrics with exceptional holonomy
- Three-manifolds with positive Ricci curvature
- Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
- Laplacian solitons and symmetry in \(G_2\)-geometry
- Scalar curvature behavior for finite-time singularity of Kähler-Ricci flow
- Laplacian solitons: questions and homogeneous examples
- Short-time behaviour of a modified Laplacian coflow of \(G_2\)-structures
- Linear and dynamical stability of Ricci-flat metrics
- An energy approach to the problem of uniqueness for the Ricci flow
- Einstein locally conformal calibrated \(G_2\)-structures
- Laplacian flow of closed \(G_2\)-structures inducing nilsolitons
- Laplacian flow for closed \(\mathrm{G}_2\) structures: real analyticity
- On the Conditions to Extend Ricci Flow(II)
- Backwards Uniqueness for the Ricci Flow
- Curvature tensor under the Ricci flow
- FLOWS OF G2-STRUCTURES, I
- The inverse function theorem of Nash and Moser
- Twisted connected sums and special Riemannian holonomy
- Shi-type estimates and finite time singularities of flows of G2 structures
- Cohomogeneity‐one G2‐Laplacian flow on the 7‐torus
- A Compactness Property for Solutions of the Ricci Flow
- Geometric flows and their solitons on homogeneous spaces
- Laplacian flow of homogeneous G2-structures and its solitons