Kinds of pollination

Autogamy is the transfer of pollen from the anther to the stigma of the same flower.
Cleistogamous flowers never open; the anthers and stigma lie close to each other, so when the anthers dehisce in the closed bud the pollen falls on the stigma of the same flower. They are invariably autogamous (e.g., $Viola$, $Oxalis$, $Commelina$).
Geitonogamy is the transfer of pollen to the stigma of another flower of the same plant.
Xenogamy is the transfer of pollen to the stigma of a flower of a different plant.
Chasmogamous flowers are open flowers with exposed anthers and stigma, in which cross-pollination can also occur.
Hence pollination is autogamous in cleistogamy.

Autogamy: transfer of pollen from the anther to the stigma of the same flower.
Geitonogamy: transfer of pollen from the anther to the stigma of another flower of the same plant. It is functionally cross-pollination, since it needs a pollinating agent, but genetically it is similar to autogamy because the pollen comes from the same plant.
Xenogamy: transfer of pollen from the anther to the stigma of a flower of a different plant; it brings genetically different pollen to the stigma.
Karyogamy is the fusion of two nuclei.
Hence the transfer described is geitonogamy.