Geodesic
The integrability of a field of endomorphisms
Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 605-611

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MR Zbl
A Theorem is proved that gives intrinsic necessary and sufficient conditions for the integrability of a zero-deformable field of endomorphisms. The Theorem is proved by reducing to a special case in which the endomorphism field is nilpotent. Many arguments used in the derivation of similar results are simplified, principally by means of using quotient rather than subspace constructions.
A Theorem is proved that gives intrinsic necessary and sufficient conditions for the integrability of a zero-deformable field of endomorphisms. The Theorem is proved by reducing to a special case in which the endomorphism field is nilpotent. Many arguments used in the derivation of similar results are simplified, principally by means of using quotient rather than subspace constructions.
DOI : 10.21136/MB.2002.133948
Classification : 53A35, 53C10, 53C15
Keywords: integrability; endomorphism; quotient space 
Thompson, Gerard. The integrability of a field of endomorphisms. Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 605-611. doi: 10.21136/MB.2002.133948
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