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19932026
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math.DG2013

Dominating surface group representations by Fuchsian ones

Bertrand Deroin, Nicolas Tholozan

We prove that a representation from the fundamental group of a closed surface of negative Euler characteristic with values in the isometry group of a Riemannian manifold of section…

math.DG2013★ 5 cited

Rozansky-Witten-type invariants from symplectic Lie pairs

Yannick Voglaire, Ping Xu

We introduce symplectic structures on "Lie pairs" of (real or complex) algebroids as studied by Chen, Stienon and the second author (From Atiyah classes to homotopy Leibniz algebra…

math.DG2013★ 2 cited

An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions

Hongxin Guo, Robert Philipowski, Anton Thalmaier

We introduce a new entropy functional for nonnegative solutions of the heat equation on a manifold with time-dependent Riemannian metric. Under certain integral assumptions, we sho…

math.DG2013

Entropy and lowest eigenvalue on evolving manifolds

Hongxin Guo, Robert Philipowski, Anton Thalmaier

In this note we determine the first two derivatives of the classical Boltzmann-Shannon entropy of the conjugate heat equation on general evolving manifolds. Based on the second der…

math.DG2013★ 4 cited

From Hypercomplex to Holomorphic Symplectic Structures

Wei Hong, Mathieu Stiénon

The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex tr…