Glasnik Matematicki, Vol. 61, No. 1 (2026), 151-159. \( \)

NOTE ON CONCENTRATION VIA THE CONJUGATE-LINEAR HODGE STAR OPERATOR

Junho Lee

School of Data, Mathematical, and Statistical Sciences, University of Central Florida, Orlando, Florida 32816, USA
e-mail:junho.lee@ucf.edu

Abstract.   We construct conjugate-linear perturbations of twisted \(\rm{spin}^{\rm c}\) Dirac operators on compact almost Hermitian manifolds of dimension congruent to \(2\) or \(6\) modulo \(8\), employing the conjugate-linear Hodge star operator rescaled by unit complex numbers depending on degree. These perturbations satisfy the concentration principle.

2020 Mathematics Subject Classification.   53C27, 53C55

Key words and phrases.   Twisted \(\rm{spin}^{\rm c}\) Dirac operator, Conjugate-linear perturbation, Concentration principle

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https://doi.org/10.3336/gm.61.1.06

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