Does Corona SDK has page curl feature ?

I want to create book animation , and need create page curl like IOS:
http://api.mutado.com/mobile/paperstack/

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There is not a native built in feature. There is a blog post on the Corona blogs (see the blog link at the top of the page) that shows you how to implement a page curl effect.

This is however a transition only I believe and not one that will follow your finger back and forth like the native iOS one. I hear that’s on the roadmap but there is no ETA that Ansca has provided.
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As an extension to Rob’s answer, there is also a proof of concept in the Code Exchange section written by @dedoubleyou1.

This code example more closely resembles the native curl in that it attempts to track the finger swipe movement. [import]uid: 122384 topic_id: 24411 reply_id: 98761[/import]