Some bone conduction Headphones are listed under the EUIPO (the European Union Intellectual Property Office responsible for managing the EU trade marks and the registered European Union designs.)

https://euipo.europa.eu/eSearch/#details/owners/1966162

EUIPO-patents-of-bone-conduction-Headphones

Some bone conduction Headphones are listed under the CNIPA (China National Intellectual Property Administration)

CNIPA-patents-of-bone-conduction-Headphones-BY Google translator

ABS Shell without oil spraying

X3 Bone Conduction Headphone

ABS Shell Sprayed Rubber Oil

Z9 Open Ear Running Headphones

ABS Shell Sprayed Rubber Oil

X12 Open Ear Kids headphone