Laurence H. Mayther

collaborators

Showing math.DGShow all

5 papers · 1 filter

math.DG2023

Relative $h$ -principles for closed stable forms

Laurence H. Mayther

This paper uses convex integration to develop a new, general method for proving relative $h$ -principles for closed, stable, exterior forms on manifolds. This method is applied to p…

math.DG2023

Spectral invariants of Joyce orbifolds

Laurence H. Mayther

This paper introduces two new spectral invariants of torsion-free $G_{2}$ -structures on closed orbifolds and computes their values on all Joyce orbifolds. These invariants a…

math.DG2023

Unboundedness above and below of the Donaldson-Hitchin functionals on $G_{2}$ - and $G_{2}$ -forms

Laurence H. Mayther

This paper combines explicit local calculations with covering arguments to prove the unboundedness above and below (in a logarithmic sense) of the Donaldson-Hitchin functionals on…

math.DG2023

Unboundedness above of the Hitchin functional on $G_{2}$ 3-forms and associated collapsing results

Laurence H. Mayther

This paper uses scaling arguments to prove the unboundedness above of the Hitchin functional on closed $G_{2}$ 3-forms for two explicit closed 7-manifolds. The first manifol…

math.DG2023

A general collapsing result for families of stratified Riemannian metrics on orbifolds

Laurence H. Mayther

This paper proves a general collapsing result for families of stratified Riemannian metrics $g^{μ}$ on a compact orbifold $E$ , subject to suitable limiting conditions on th…

Relative h-principles for closed stable forms

Spectral invariants of Joyce orbifolds

Unboundedness above and below of the Donaldson-Hitchin functionals on G2​- and G2​-forms

Unboundedness above of the Hitchin functional on G2​ 3-forms and associated collapsing results

A general collapsing result for families of stratified Riemannian metrics on orbifolds

Relative $h$ -principles for closed stable forms

Unboundedness above and below of the Donaldson-Hitchin functionals on $G_{2}$ - and $G_{2}$ -forms

Unboundedness above of the Hitchin functional on $G_{2}$ 3-forms and associated collapsing results