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I searched around for 'ipad mini sleeve' and eventually decided on a leather one from
Amazon.com.
It's also available from
AliExpress.com for a little cheaper (if you are willing to wait several weeks for shipment).
The sleeve is just the right width, and about 1.5 cm taller than the KA1. The inside is soft. I dislike the slanted rear pocket, but I figure I can cut it off if it really starts to bug me.
The flap closure is magnetic but doesn't activate the auto-sleep function of the KA1.