Geodesic
Equivalence and singularity of Gaussian measures on the conic sigma-subfield
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 187-203

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The alternative: equivalence-singularity on the conic sigma-field is established for a pair of centered Gaussian distributions, and a corresponding criterion is given. Behavior of the logarithmic variation is established for the Radon–Nikodym derivative on the conic sigma-subfield. 
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     author = {V. A. Rovsky and V. N. Sudakov},
     title = {Equivalence and singularity of {Gaussian} measures on the conic sigma-subfield},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {278},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a10/}
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V. A. Rovsky; V. N. Sudakov. Equivalence and singularity of Gaussian measures on the conic sigma-subfield. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 187-203. http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a10/