Work

Higher rank homogeneous Clifford structures

Year: 2012

Type: article

Abstract: We give an upper bound for the rank r of homogeneous (even) Clifford structures on compact manifolds of non-vanishing Euler characteristic. More precisely, we show that if r=2a·b with b odd, then r⩽9 for a=0, r⩽10 for a=1, r⩽12 for a=2 and r⩽16 for a⩾3. Moreover, we describe the four limiting cases and show that there is exactly one solution in each case.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms/jds061

Authors: Andrei Moroianu, Mihaela Pilca

Institutions: Université de Versailles Saint-Quentin-en-Yvelines, Laboratoire de Mathématiques de Versailles, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy, University of Regensburg

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Conformal Aspects of Geometry