Geodesic
Homology of contact CR-submanifolds
Filomat, Tome 35 (2021) no. 11, p. 3811

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DOI

In this paper, homology of a contact CR-submanifold of a real hypersurface, which has naturally almost contact metric structure induced from the complex Euclidean space C m , is examined. More precisely, nonexistence of stable integral currents on a compact contact CR-submanifold of real hypersurface of canonical complex space form C m is investigated and vanishing theorems concerning the homology groups are obtained
DOI : 10.2298/FIL2111811S
Classification : 55N25, 57R60, 53C65, 53B25
Keywords: Almost contact manifold, real hypersurface, sphere theorem, CR-warped submanifold, stable current, homology group 
Fulya Şahin; Bayram Şahin. Homology of contact CR-submanifolds. Filomat, Tome 35 (2021) no. 11, p. 3811 . doi: 10.2298/FIL2111811S
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     author = {Fulya \c{S}ahin and Bayram \c{S}ahin},
     title = {Homology of contact {CR-submanifolds}},
     journal = {Filomat},
     pages = {3811 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111811S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111811S/}
}
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