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Geometriae Dedicata, ISSN 0046-5755, 10/2014, Volume 172, Issue 1, pp. 229 - 244
In this note, we discuss an analogue of the Weil–Petersson metric for spaces of metric graphs and some of its properties. 
Geometry | Weil–Petersson metric | Metric graph | 37C30 | Mathematics | 37D35 | Thermodynamic formalism | 05C25 | MATHEMATICS | ORBITS | FLOWS | Weil-Petersson metric | Thermodynamics
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 07/2017, Volume 27, Issue 3, pp. 1995 - 2017
The Weil-Petersson metric is a Hermitian metric originally defined on finite-dimensional Teichmuller spaces. Ahlfors proved that this metric is a Kahler metric... 
Infinite-dimensional Kähler manifolds | Teichmüller spaces | The Weil–Petersson metric | p-Integrable Teichmüller spaces | MATHEMATICS | Teichmuller spaces | Infinite-dimensional Kahler manifolds | The Weil-Petersson metric | BOUNDEDNESS | AUTOMORPHIC-FORMS | p-Integrable Teichmuller spaces
Journal Article
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, 2019, Volume 44, Issue 1, pp. 15 - 28
This paper deals with the smoothness and strongly pseudoconvexity of p-Weil-Petersson metric. This metric is a complex Finsler metric on the p-integrable... 
SPACE | MATHEMATICS | complex Finsler metric | Teichmuller space | p-integrable Teichmuller space | Weil-Petersson metric | BOUNDEDNESS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 305, pp. 856 - 894
For the TZ metric on the moduli space M0,n of n-pointed rational curves, we construct a Kähler potential in terms of the Fourier coefficients of the Klein's... 
Takhtajan–Zograf metric | Weil–Petersson metric | Chern form | Liouville action | Teichmüller space | Schottky space | Renormalized volume | MATHEMATICS | Takhtajan-Zograf metric | Weil-Petersson metric | RIEMANN SURFACES | Teichmilller space
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 373, Issue 1, pp. 287 - 296
We make some comparisons concerning the induced infinitesimal Kobayashi metric, the induced Siegel metric, the L 2 Bergman metric, the Teichmüller metric and... 
Kobayashi metric | Weil–Petersson metric | Siegel metric | Teichmüller metric | Volume | [formula omitted] Bergman metric | Bergman metric | Weil-Petersson metric | MATHEMATICS | Teichmuller metric | MATHEMATICS, APPLIED | RIEMANN SURFACES | MODULI SPACE | L-2 Bergman metric | CANONICAL METRICS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2013, Volume 274, Issue 1, pp. 647 - 665
We discuss the Funk function $$F(x,y)$$ on a Teichmüller space with its Weil–Petersson metric $$(\mathcal{T },d)$$ introduced in Yamada (Convex bodies in... 
Weil–Petersson metric | Hilbert metric | 51K05 | Funk metric | Mathematics, general | Teichmüller space | Non-symmetric distance | Mathematics | Mapping class groups | 53C60 | Weil-Petersson metric | MATHEMATICS | Teichmuller space | ISOMETRIES
Journal Article
SIAM Journal on Imaging Sciences, ISSN 1936-4954, 05/2014, Volume 7, Issue 2, pp. 900 - 923
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2010, Volume 259, Issue 12, pp. 3037 - 3079
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 06/2015, Volume 92, pp. 252 - 270
We introduce a simple and very fast algorithm to compute Weil–Petersson metrics on moduli spaces of Calabi–Yau varieties. Additionally, we introduce a second... 
Weil–Petersson metrics | Monte Carlo method | Geometric invariant theory | Balanced metrics | Numerical geometry | Calabi–Yau | Calabi-Yau | Weil-Petersson metrics | MATHEMATICS | PHYSICS, MATHEMATICAL | Algorithms | Complex Variables | Algebraic Geometry | Mathematics | Differential Geometry | High Energy Physics - Theory | Physics
Journal Article
Journal Article
International Journal of Mathematics, ISSN 0129-167X, 11/2014, Volume 25, Issue 12, pp. 1450113 - 1-1450113-11
As is well-known, the Weil–Petersson metric ωWP on the moduli space ℳg has negative Ricci curvature. Hence, its negative first Chern form defines the so-called... 
Weil-Petersson geometry | Perturbed Ricci metric | moduli space | MATHEMATICS | RIEMANN SURFACES | TEICHMULLER SPACE | CANONICAL METRICS | Constants | Magnesium | Mathematical analysis | Curvature
Journal Article
Analysis and PDE, ISSN 2157-5045, 2013, Volume 6, Issue 1, pp. 131 - 180
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 06/2007, Volume 138, Issue 3, pp. 423 - 443
The hyperbolic metric for the punctured unit disc in the Euclidean plane is singular at the origin. A renormalization of the metric at the origin is provided... 
MATHEMATICS | PUNCTURED RIEMANN SURFACES | THEOREM | TEICHMULLER SPACE | INTERSECTION THEORY | CURVES | WEIL-PETERSSON VOLUMES | MODULI SPACES | 14H15 | 32G15 | 14H60 | 30F60
Journal Article
Science China Mathematics, ISSN 1674-7283, 2010, Volume 53, Issue 3, pp. 565 - 572
In this note we discuss various canonical metrics on complex manifolds. A generalization of the Bergman metric is proposed and the relations of metrics on... 
Intrinsic metrics | Strominger system | Generalized Bergman metrics | Weil-Petersson metric | MATHEMATICS | MATHEMATICS, APPLIED | intrinsic metrics | generalized Bergman metrics | RIEMANN SURFACES | MODULI SPACE | CANONICAL METRICS | GEOMETRY
Journal Article
Differential Geometry and its Applications, ISSN 0926-2245, 04/2012, Volume 30, Issue 2, pp. 206 - 215
The Pontryagin forms on the 1-jet bundle of Riemannian metrics, are shown to provide in a natural way diffeomorphism-invariant pre-symplectic structures on the... 
Pre-symplectic structure | Weil–Petersson symplectic form | Equivariant characteristic classes | Diffeomorphism invariance | Universal Pontryagin forms | Bundle of Riemannian metrics | Weil-Petersson symplectic form | CO-HOMOLOGY | BUNDLE | MATHEMATICS | MATHEMATICS, APPLIED | COHOMOLOGY | CONNECTIONS | Bundling | Reduction | Maps | Differential geometry
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2008, Volume 284, Issue 1, pp. 227 - 261
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2015, Volume 279, pp. 717 - 778
On the identity component of the universal Teichmüller space endowed with the Takhtajan–Teo topology, the geodesics of the Weil–Petersson metric are shown to... 
Weil–Petersson metric | Universal Teichmüller space | Completeness | Geodesic | Global existence | Pattern recognition | Critical Sobolev index | Regularity | Weil-Petersson metric | DIFFEOMORPHISMS | MATHEMATICS | MOTION | Universal Teichmuller space | BOUNDARY | Mathematics
Journal Article
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