Substrate having fine lines, method for manufacturing the same, electron-source substrate, and image display apparatus

A substrate comprising:

• fine line formed on the substrate,
• wherein the fine line has a narrow-width portion at an end portion of said fine line in a longitudinal direction of said fine line, and
• a width of the narrow-width portion is smaller than a width of a portion adjacent to the narrow-width portion;
• in a section of said fine line cut in the direction of a normal line on the face forming said fine line on said substrate, the section comprises a part which is away from the substrate-side-end of said section, a length of a part of the section in the parallel direction to said substrate face is longer than a length of the substrate-side-end of said section in the parallel direction to said substrate face;
• and
• the fine line has a thickness of at least 5 μm.