Markus Upmeier | Researchain

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Differential Geometry and Its Applications | 2017

Chern's contribution to the Hopf problem: An exposition based on Bryant's paper

Aleksy Tralle; Markus Upmeier

Abstract We give a comprehensive account of Cherns Theorem that S 6 admits no ω -compatible almost complex structures. No claim to originality is being made, as the paper is mostly an expanded version of material in differential sources already in the literature.

arXiv: Geometric Topology | 2011

Products in Generalized Differential Cohomology

Markus Upmeier

arXiv: Differential Geometry | 2017

Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry

Mehdi Lejmi; Markus Upmeier

Archive | 2014

Algebraic Structure and Integration in Generalized Differential Cohomology

Markus Upmeier

Journal of Homotopy and Related Structures | 2016

Refinements of the Chern-Dold character: cocycle additions in differential cohomology

Markus Upmeier

Algebraic & Geometric Topology | 2015

Algebraic structure and integration maps in cocycle models for differential cohomology

Markus Upmeier

Archive | 2017

Closed almost-K\"ahler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are K\"ahler

Mehdi Lejmi; Markus Upmeier

arXiv: Differential Geometry | 2016

The Canonical 2-Gerbe of a Complex Manifold

Markus Upmeier

arXiv: Differential Geometry | 2016

The Canonical 2-Gerbe of a Holomorphic Vector Bundle

Markus Upmeier

arXiv: Differential Geometry | 2015

An Integrability Theorem for Almost-K\"ahler Structures using J-anti-invariant Two-Forms on Four-Manifolds

Mehdi Lejmi; Markus Upmeier

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