Can you help me with how I can decorate such a cake especially those creases on top. How best can I do it?

My guess is the cake is iced w/white buttercream, covered in cornelli lace then a band of dark fondant is wrapped around the lower part and then a band of tulle (netting) is placed around that held in place with a royal icing daisy/flower, 

Looks like real flowers laid on top.

I agree with kakeladi, except I can't see the tulle wrapped around the fondant and the flower could be a fondant cut out.

Took another look at it very enlarged and think rather than fondant band/tulle it is a ribbon   Look closely at the right side of that tier right  in the middle /bottom  

To me it seems that the entire cake is covered in white fondant.  Then the "ribbon" is pleated fondant wrapped around the cake with a flower cut out at the center.  Then the lace detail is piped as well as small dots are piped around where the fondant "ribbon" meets the cake and also around the base as a border.

The flowers on top look to me to be fake with curled ribbon incorporated as well.

yes I think fondant covered too, piped white textured lace, pleated purple fondant — paper flowers

Yes, it could be entirely iced w/fondant rather than b'cream- but since I'm a b'cream gal that's what I think of `st :)    It has a very tight cornelli lace - probably used tip 0, posibably a 1.  Still not totally convienced the dark lower part is fondant& not a ribbon :)  Don't understand that slightly lighter part seen on the right side on top of the darker part - how/where is it added as it doesn't show on the left side.

I think it is just the lighting/sun.  It looks like the fondant is not flat against the cake but seems to pucker a bit when it was brought around to the front.  So the light part is where the sun is hitting the puckered part of the fondant and the lower/darker part is just a shadow.

I think there are nearly fifty million ways to do almost everything — we are all different — it stands to reason we would have varying answers — there’s no problem there —

“one baker’s never ever do is the next baker’s I swear by this”