The art of metal pot making is broadly called metalworking, but there are more specific terms depending on the techniques and materials used. Here are some possibilities:

General terms:

* Metalsmithing: This is a broad term encompassing all kinds of metalwork, including pot making.

* Blacksmithing: This refers specifically to working with iron and steel, often using a forge and hammer.

* Silversmithing: This refers to working with silver, often for jewelry or decorative objects, but can also involve making pots.

* Coppersmithing: This refers to working with copper, often for decorative objects or utensils, including pots.

Specific techniques:

* Casting: This involves pouring molten metal into a mold to create a desired shape.

* Hammering: This involves shaping metal using a hammer, often on an anvil.

* Spinning: This involves rotating a sheet of metal and shaping it using tools.

The specific term used will depend on the materials and techniques used to make the pot. For example, a pot made by casting bronze would be called a "bronze casting," while a pot made by hammering copper would be called a "copper hammered pot."

In addition to these terms, there are also specific regional terms for metal pot making, such as "kalderie" in Bulgaria.

It's important to note that many pot makers use a combination of techniques, so it may be difficult to categorize their work using a single term.