Ekagrata origins from Sankrit language and it means intentness in the pursuit of one object, close and undisturbed attention. In other words, it is one-pointed attention.
When you practice yoga mindfully and bring your full concentration to your action, you will find yourself in a very focused state and all other concerns seem to dissolve. This is the state of ekagrata. It allows you to ignore and forget all outside factors and distraction and it helps you to concentrate just on one thing. And for that moment the rest of the world hurries without you.
The pose below, Prasarita Padottanasana, is a good asana for practicing one-pointed attention. This mild version of inversions (head and heart are below hips) combined to a forward bend can bring you a wonderful feeling of calmness.