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We study the effect of the Fermi surface anisotropy on the odd-frequencyspin-triplet pairing component of the induced pair potential. We consider asuperconductor/ ferromagnetic insulator (S/FI) hybrid structure formed on the3D topological insulator (TI) surface. In this case three ingredients insurethe possibility of the odd-frequency pairing: 1) the topological surfacestates, 2) the induced pair potential, and 3) the magnetic moment of a nearbyferromagnetic insulator. We take into account the strong anisotropy of theDirac cone in topological insulators when the chemical potential lies wellabove the Dirac cone and its constant energy contour has a snowflake shape.Within this model, we propose that the S/FI boundary should be properly alignedwith respect to the snowflake constant energy contour to have an odd-frequencysymmetry of the corresponding pairing component and to insure the Majoranabound state at the S/FI boundary. For arbitrary orientation of the boundary theMajorana bound state is absent. This provides a selection rule to therealization of Majorana modes in S/FI hybrid structures, formed on thetopological insulator surface.

Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping