A nearly parallel G2-structure on a seven-dimensional Riemannian manifold is equivalent to
a spin structure with a Killing spinor. We prove general results about the automorphism …

A bstract We observe a direct relation between the existence of fundamental axionic strings,
dubbed EFT strings, and infinite distance limits in 4d\(\mathcal {N}\)= 1 EFTs coupled to …

The book starts with a thorough introduction to connections and holonomy groups, and to
Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used …

A bstract Infinite distance limits in the moduli space of a quantum gravity theory are
characterized by having infinite towers of states becoming light, as dictated by the Distance …

Riemannian geometry has today become a vast and important subject. This new book of
Marcel Berger sets out to introduce readers to most of the living topics of the field and …

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

We study the special algebraic properties of alternating 3-forms in 6 dimensions and
introduce a diffeomorphism-invariant functional on the space of differential 3-forms on a …

In the presence of a D-brane a string theory develops a new subsector. We show that for
curved D-branes the corresponding sector is a (partially twisted) topological field theory. We …

-p. 17, Def. 1.6. 4, line 2 change ω| e to ωe-p. 17, line-1 change Ada− 1 to Ad (a− 1)-p. 18,
Def. 1.6. 9 right-hand side of displayed equation should read [ω (X), θ (Y)]−[ω (Y), θ …

This is an introduction to a very active field of research, on the boundary between
mathematics and physics. It is aimed at graduate students and researchers in geometry and …