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 …

This overview is based on the talk [101] given at the mini-workshop 0648c" Dirac operators
in di? erential and non-commutative geometry", Mat-matisches Forschungsinstitut …

We propose a new method to solve the Killing spinor equations of 11-dimensional
supergravity based on a description of spinors in terms of forms and on the Spin (1, 10) …

We determine the geometry of supersymmetric heterotic string backgrounds for which all
parallel spinors with respect to the connection hat nabla with torsion H, the NS⊗ NS three …

We investigate the Killing spinor equations of IIB supergravity for one Killing spinor. We
show that there are three types of orbits of Spin (9, 1) in the space of Weyl spinors which …

We study the effects of having multiple Spin structures on the partition function of the
spacetime fields in M-theory. This leads to a potential anomaly which appears in the eta …

A Mass for ALF Manifolds Page 1 Digital Object Identifier (DOI) 10.1007/s00220-009-0823-3
Commun. Math. Phys. 289, 925–955 (2009) Communications in Mathematical Physics A Mass …

The main purpose of this review is to describe geometric properties of Sasaki–Einstein
manifolds which make them interesting in modern theoretical physics. In spite of the fact that …

We study the infinitesimal deformations of a proper nearly parallel G_2-structure and prove
that they are characterized by a certain first order differential equation. In particular we show …