Great job [MENTION=45565]agnes[/MENTION] for having two of everything, that helps cut down of squabbles.
I am thinking that you might have meant 10.5 sq ft rather than meters...because if it was meters, that would be a huge 113.021 Sq. feet cage. ??
Guinea pigs go through phases of asserting dominance with rumble strutting, mounting and basically putting on a big show. This is normal. Adult females, such as your girls, do this periodically during their heat cycles as well. If no blood is drawn, let them sort it out...but I say that with the assurance that there is adequate room for each to get away from each other as needed. If they are always in sight of each other due to space constraints, you will almost definitely have a fight eventually.
I have found that some guinea pigs need more room than others to get along. I found with my girls making a C&C cage that was 3 grids wide (approximately 3.5 ft wide) really helped so there was a lot of room for passing each other when one was in a bad mood or prone to nipping another.
I try to stay away from igloos that have only one entrance/exit to prevent any guinea pig getting trapped, especially if you have one who is is squabble mode right now. It also helps that if you have any ramps, try to have two as well so that they can get away from another easily and if you have a loft in the future build it so they have the space to move past each other (I suggest avoiding 1 grid wide lofts).
C&C cages are wonderful because you can build them in any configuration or size you need or want. I currently have a 6x6 with a 2x10 L shaped loft... But I have more than 2, so they need the space. Again, when they have space and room to get away or out of sight, there are very few squabbles unless it's over a choice piece of pepper! It also is a lot of fun to watch their playful side emerge when they have the room to run.
In the meantime, I suggest you make an adaptation of a fleece forest by putting up some fleece strips (or other strips of material until you get fleece) hanging from the cage roof and down towards the floor, kind of like a curtain. This will allow the pigs to get out of sight from each other, even if it's briefly.
I would also suggest getting a cheap kitchen scale to weigh them regularly to make sure everyone is getting their fair share of food and it alerts you to illnesses if one should start dropping weight.
Welcome to guinea pig ownership! There is a lot of great information on this forum...read through it and look at some of the gallery photos for cage ideas! Good luck!