1. A polymetalloxane comprising a constituent unit represented by the following
general formula (1):
wherein,
R1 is a hydrogen atom or an alkyl group having 1 to 10 carbon atoms;
9 ^
R and R are each independently a hydrogen atom, an alkyl group having 1 to 12 carbon atoms, an alicyclic alkyl group having 5 to 12 carbon atoms, an aromatic group having 6 to 30 carbon atoms, or an acyl group having 1 to 12 carbon atoms;
9 ^
R and R are optionally linked together via a carbon-carbon saturated or a carbon-carbon unsaturated bond to form a ring structure;
a is an integer of 0 or 1;
M represents a metal atom selected from the group consisting of Al, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, Zr, Nb, Mo, Ru, Rh, Pd, Ag, In, Sn, Sb, Hf, Ta, W, Re, Os, Ir, Pt, Au, Tl, and Bi;
m is an integer indicating the valence of the metal atom M; and
b is an integer of 1 to (m-2).
2. The polymetalloxane according to claim 1, wherein the constituent unit
represented by the general formula (1) is a constituent unit represented by the following general formula (2);

wherein,
R4 is a hydrogen atom, an alkyl group having 1 to 12 carbon atoms, an alicyclic alkyl group having 5 to 12 carbon atoms, an aromatic group having 6 to 30 carbon atoms, or an acyl group having 1 to 12 carbon atoms;
R5 is, independently from R4, a hydrogen atom, an alkyl group having 1 to 12 carbon atoms, an alicyclic alkyl group having 5 to 12 carbon atoms, or an aromatic group having 6 to 30 carbon atoms; and
R4 and R5 are optionally linked together via a carbon-carbon saturated or a carbon-carbon unsaturated bond to form a ring structure.
3. The polymetalloxane according to claim 1, wherein the constituent unit
represented by the general formula (1) is a constituent unit represented by the following general formula (3);
wherein,
R6 and R7 are each independently a hydrogen atom, an alkyl group having 1 to 12 carbon atoms, an alicyclic alkyl group having 5 to 12 carbon atoms, or an aromatic group having 6 to 30 carbon atoms; and

R6 and R7 are optionally linked together via a carbon-carbon saturated or a carbon-carbon unsaturated bond to form a ring structure.
4. The polymetalloxane according to any one of claims 1 to 3, wherein the integer a is 1.
5. The polymetalloxane according to any one of claims 1 to 4, wherein the metal atom M comprises at least one metal atom selected from the group consisting of Al, Ti, Zr, and Sn.
6. A composition comprising the polymetalloxane according to any one of claims 1 to 5.
7. The composition according to claim 6, further comprising a metal element-containing compound.
8. A cured film comprising the polymetalloxane according to any one of claims 1 to 5.
9. A cured film comprising the composition according to claim 6 or 7.
10. A method of producing a cured film, comprising the step of heating the polymetalloxane according to any one of claims 1 to 5 or the composition according to claim 6 or 7.
11. A member comprising the cured film according to claim 8 or 9.

12. An electronic component comprising the member according to claim 11.
13. A fiber comprising the polymetalloxane according to any one of claims 1 to 5.
14 A fiber comprising the composition according to claim 6 or 7.
15. A method of producing a fiber, comprising the step of spinning the polymetalloxane according to any one of claims 1 to 5 or the composition according to claim 6 or 7 into a fiber.
16. The method of producing a fiber according to claim 15, comprising the step of firing the fiber obtained by the spinning step.
17. A binder for ceramic molding comprising the polymetalloxane according to any one of claims 1 to 5.