Geodesic
$T$-forms and their properties
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 229-236 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper continues the paper “Bilinear forms on categories” by the second of the authors. A class of nondegenerate forms is introduced; in particular, any isomorphism of a totally isotropic direct summand onto another totally isotropic direct summand of an object with a form this class can be extended till a metric automorphism of the object (even if the division by 2 of morpisms is impossible). 
@article{ZNSL_1999_265_a16,
     author = {M. I. Kyurshina and A. V. Yakovlev},
     title = {$T$-forms and their properties},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {229--236},
     year = {1999},
     volume = {265},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a16/}
}
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M. I. Kyurshina; A. V. Yakovlev. $T$-forms and their properties. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 229-236. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a16/