The real problem with the push-ups and the rather unsuccessful execution is probably that most people learn push-ups incorrectly at school. The right training and what is important is not taught there, but rather about endurance or about who can do the most push-ups. At a young age this is completely okay, only with time and age do physical complaints arise if the execution is incorrect, e.g. shoulder or back pain. This should then be compensated for by correcting the training with pushups. One of the most common mistakes is keeping your hands too far apart. It is just as wrong for the elbows to point outward during push-ups. Such mistakes not only train the individual muscle groups less, but can also lead to injuries and overloading of the back if they are incorrectly implemented for a long time. The hollow back is also not advisable for push-ups. There are exercises that involve the hollow back, e.g. the “Hindu push-up” or the “Tibetan push-up”. But basically a hollow back should be avoided.