Mathematical and Statistical Sciences Faculty Publications and Presentations

Title

Isometric Flows of G 2-structures

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

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Publication Title

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

DOI

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

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