activity
20132023
most citedClassification of complete projective special real surfaces

11 citations · 18 across the 8 of their papers we have counts for

collaborators

9 papers

math.DG2023

Special homogeneous surfaces

David Lindemann, Andrew Swann

We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneo…

math.DG2022

Special homogeneous curves

David Lindemann

We classify all special homogeneous curves. A special homogeneous curve consists of connected components of the hyperbolic points in the level set of a homo…

math.DG2022

Special geometry of quartic curves

David Lindemann

We classify maximal quartic generalised projective special real curves up to equivalence. A maximal quartic generalised projective special real curve consists of connected componen…

math.DG2022

Classification of left-invariant Einstein metrics on that are bi-invariant under a one-parameter subgroup

Vicente Cortés, Jeremias Ehlert, Alexander S. Haupt +1

We classify all left-invariant pseudo-Riemannian Einstein metrics on that are bi-invariant under a one-parameter subgrou…

math.DG2020★ 1 cited

Limit geometry of complete projective special real manifolds

David Lindemann

We study the limit geometry of complete projective special real manifolds. By limit geometry we mean the limit of the evolution of the defining polynomial and the centro-affine fun…

math.DG2019

Properties of the moduli set of complete connected projective special real manifolds

David Lindemann

We construct a compact convex generating set of the moduli set of closed connected projective special real manifolds of fixed dimension . We show that a closed c…

math.DG2017★ 6 cited

Left-invariant Einstein metrics on

Florin Belgun, Vicente Cortés, Alexander S. Haupt +1

The classification of homogeneous compact Einstein manifolds in dimension six is an open problem. We consider the remaining open case, namely left-invariant Einstein metrics on…

math.DG2017

A class of cubic hypersurfaces and quaternionic Kähler manifolds of co-homogeneity one

Vicente Cortés, Malte Dyckmanns, Michel Jüngling +1

We classify all complete projective special real manifolds with reducible cubic potential, obtaining four series. For two of the series the manifolds are homogeneous, for the two o…

math.DG2013★ 11 cited

Classification of complete projective special real surfaces

Vicente Cortés, Malte Dyckmanns, David Lindemann

We determine all complete projective special real surfaces. By the supergravity r-map, they give rise to complete projective special Kähler manifolds of dimension 6, which are dist…