what is the name of object saving the steps that is used in the app showing the timedependence

Native things are not written in CIQ.

Maybe a picture of what you mean would help.

the app on Handy displays the steps per hour for the day...that has to be given by an object  from the watch...but I don t find it in the manual

There is not standard API call that gets you that.  You can get the current step count and time and calculate/maintain it yourself.

Yes I know and planned it in that way,the watch would then take the actual steps und collect them from that time on, but I would take them from the last 4 hours..... but I ve seen it already at ActiFace Watchface....there the developer takes not per hour but the steps of the last 7 daysw the endvalue....where are they saved in? When I inizialise it...there are there..that must be a object...

Use ActivityMonitor.getHistory() and you get the info for the last 7 days.  But it's by day, not by hour.

You could get a reasonable estimate of this if you record the current step count at the top of every hour (using backgrounding if necessary) and then display the difference from the current step count to the step count 3 hours ago.

Is the last question how to read that object that comes there....

In getHistory(), it's an array of up to 7 History objects, one for each day.  Look in the API guide to see what's there.

getHistory() ⇒ Toybox.Lang.Array

Nice...got it in watchface AlienHR...but the app displays the steps in count over the hours of a day...the Array had just the steps reached per day