References of "Differential Geometry and its Applications"
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See detailEntropy degeneration of globally hyperbolic maximal compact anti-de Sitter structures
Tamburelli, Andrea UL

in Differential Geometry and its Applications (2019), 64

Using the parameterisation of the deformation space of GHMC anti-de Sitter structures on S×ℝ by the cotangent bundle of the Teichmüller space of S, we study how some geometric quantities, such as the ... [more ▼]

Using the parameterisation of the deformation space of GHMC anti-de Sitter structures on S×ℝ by the cotangent bundle of the Teichmüller space of S, we study how some geometric quantities, such as the Lorentzian Hausdorff dimension of the limit set, the width of the convex core and the Hölder exponent, degenerate along rays of quadratic differentials. [less ▲]

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See detailHarnack estimates for a nonlinear parabolic equation under Ricci flow
Li, Yi UL; Zhu, Xiaorui

in Differential Geometry and its Applications (2018), 56

In this paper, we consider the Harnack estimates for a nonlinear parabolic equation under the Ricci flow. The gradient estimates for positive solutions as well as Li-Yau type inequalities are also given.

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See detailHigher holonomies: comparing two constructions
Arias Abad, Camilo; Schatz, Florian UL

in Differential Geometry and its Applications (2015), 40

We compare two different constructions of higher dimensional parallel transport. On the one hand, there is the two dimensional parallel transport associated to 2-connections on 2-bundles studied by Baez ... [more ▼]

We compare two different constructions of higher dimensional parallel transport. On the one hand, there is the two dimensional parallel transport associated to 2-connections on 2-bundles studied by Baez-Schreiber, Faria Martins-Picken and Schreiber-Waldorf. On the other hand, there are the higher holonomies associated to flat superconnections as studied by Igusa, Block-Smith and Arias Abad-Schätz. We first explain how by truncating the latter construction one obtains examples of the former. Then we prove that the 2-dimensional holonomies provided by the two approaches coincide. [less ▲]

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See detailEven-homogeneous supermanifolds on the complex projective line.
Vishnyakova, Elizaveta UL

in Differential Geometry and its Applications (2013), 31

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