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 …

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 …

The list of possible holonomy groups of Riemannian manifolds given by Berger [3] includes
three intriguing special cases, the holonomy groups G2, Spin (7) and Spin (9) in dimensions …

-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 …

We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes
located at singular points in the ambient transverse space. For singularities which occur at …

This graduate level text covers an exciting and active area of research at the crossroads of
several different fields in Mathematics and Physics. In Mathematics it involves Differential …

Conformal Killing forms are a natural generalization of conformal vector fields on
Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant …

Motivated by its potential use as a starting point for solving various cosmological constant
problems, we study F‐theory compactified on the warped product where Y8 is a manifold …

This is a mini-review about generalized instantons of noncommutative gauge theories in
dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their …