Indian Swords with downward curving blades

[Jens Nordlunde]

The Mahishamardini cave Temple it at the east coast of India - but you no doubt know that. Coorg is, as you know, on the west coast of India, so the two places are very far apart.
The weapon shown by Elgood could be related to the adya katti, but it seems to be closer related at the kukri. How?
I think the answer will found be in studying the early Indian history of this area.