Titlebook: Geometry, Lie Theory and Applications; The Abel Symposium 2 Sigbjørn Hervik,Boris Kruglikov,Dennis The Conference proceedings 2022 The Edit

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Recent Results on Closed ,,-Structures,We review recent results concerning closed G.-structures on seven-dimensional manifolds. In particular, we discuss the construction of examples and some related problems.

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,Distinguished Curves and First Integrals on Poincaré–Einstein and Other Conformally Singular Geomet and other conformally singular geometries. These “generalised geodesics” agree with geodesics away from the conformal singularity set and are shown to satisfy natural “boundary conditions” at points where they meet or cross the metric singularity set. We also characterise when they coincide with co

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The Search for Solitons on Homogeneous Spaces,ation and an ‘optimal’ tangent direction at each point. We study in this paper solitons on homogeneous spaces, which are a quite useful tool to find soliton geometric structures in Riemannian, pseudo-Riemannian, complex, symplectic and .. geometries.

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Building New Einstein Spaces by Deforming Symmetric Einstein Spaces,he spaces we will deform are associated with complex hyperbolic spaces and are (para-)Kähler manifolds. That is, they admit a parallel field of skew-symmetric endomorphisms, called a (para-)complex structure ., such that .. = −. (.. = .), where . denotes the identity endomorphism. These metrics also

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Remarks on Highly Supersymmetric Backgrounds of 11-Dimensional Supergravity, and give a strong version of the Reconstruction Theorem, namely a bijective correspondence from the space of highly supersymmetric supergravity backgrounds to the space of abstract symbols. We propose a general strategy to construct highly supersymmetric supergravity backgrounds and present an exam