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G-deformations of maps into projective space

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Abstract

G-deformability of maps into projective space is characterised by the existence of certain Lie algebra valued 1-forms. This characterisation gives a unified way to obtain well known results regarding deformability in different geometries.

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Acknowledgements

This work is based on part of the author’s doctoral thesis [34]. The author would like to thank Professor Francis Burstall, who encouraged him to study this topic and provided much needed guidance in the creation of this paper. The author gratefully acknowledges the support of the FWF through the research project P28427-N35 “Non-rigidity and symmetry breaking” and the MIUR grant “Dipartimenti di Eccellenza” 20182022, CUP: E11G18000350001, DISMA, Politecnico di Torino.

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  1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Mason Pember

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Correspondence to Mason Pember.

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Pember, M. G-deformations of maps into projective space. Boll Unione Mat Ital 13, 275–292 (2020). https://doi.org/10.1007/s40574-020-00218-9

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