Transmission and vehicle with transmission

A transmission, comprising an input shaft, a first output shaft, a second output shaft, a first planetary gear set and a second planetary gear set connected to the first planetary gear set, wherein the planetary gear sets each comprise multiple elements, wherein the input shaft, the two output shafts, the planetary gear sets and elements thereof are arranged and are configured such that

• a torque introduced via the input shaft is converted and divided between the two output shafts in a defined ratio, and
• the generation of a sum torque is prevented,
• wherein at least one element of the first planetary gear set is connected rotationally conjointly to another element of the second planetary gear set,
• wherein a further element of the second planetary gear set is fixed to a non-rotatable structural element,
• wherein the second planetary gear set is a minus planetary gear set,
• wherein the input shaft is connected rotationally conjointly to a ring gear of the first planetary gear set,
• wherein the first output shaft is connected rotationally conjointly to a planet carrier of the first planetary gear set,
• wherein a sun gear of the first planetary gear set is connected rotationally conjointly to a sun gear of the second planetary gear set,
• wherein a planet carrier of the second planetary gear set is fixed to a non-rotatable structural element of the transmission,
• wherein the second output shaft is connected rotationally conjointly to a ring gear of the second planetary gear set,
• wherein a pitch of the toothing on the sun gear of the first planetary gear set and on the sun gear of the second planetary gear set is identical, and
• wherein a static transmission ratio of the second planetary set is calculated at least approximately from a static transmission ratio of the first planetary set minus 1.