Isometric Flows of G 2-structures

Authors

Sergey Grigorian, The University of Texas Rio Grande Valley

Document Type

Book

Publication Date

10-18-2021

Abstract

We survey recent progress in the study of flows of isometric G 2-structures on seven-dimensional manifolds, that is, flows that preserve the metric, while modifying the G 2-structure. In particular, heat flows of isometric G 2-structures have been recently studied from several different perspectives, in particular in terms of 3-forms, octonions, vector fields, and geometric structures. We will give an overview of each approach, the results obtained, and compare the different perspectives.

Comments

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

Recommended Citation

Grigorian, S. (2022). Isometric Flows of G 2-structures. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_55

Publication Title

Current Trends in Analysis, its Applications and Computation. Trends in Mathematics

DOI

10.1007/978-3-030-87502-2_55