A Frankel type theorem for CR submanifolds of Sasakian manifolds
Archivum mathematicum, Tome 59 (2023) no. 5, pp. 369-381
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We prove a Frankel type theorem for $CR$ submanifolds of Sasakian manifolds, under suitable hypotheses on the index of the scalar Levi forms determined by normal directions. From this theorem we derive some topological information about $CR$ submanifolds of Sasakian space forms.
DOI :
10.5817/AM2023-5-369
Classification :
53C25, 53C40
Keywords: intersection of submanifolds; CR submanifold of a Sasakian manifold; scalar Levi form
Keywords: intersection of submanifolds; CR submanifold of a Sasakian manifold; scalar Levi form
@article{10_5817_AM2023_5_369,
author = {Di Pinto, Dario and Lotta, Antonio},
title = {A {Frankel} type theorem for {CR} submanifolds of {Sasakian} manifolds},
journal = {Archivum mathematicum},
pages = {369--381},
publisher = {mathdoc},
volume = {59},
number = {5},
year = {2023},
doi = {10.5817/AM2023-5-369},
mrnumber = {4641952},
zbl = {07790553},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-5-369/}
}
TY - JOUR AU - Di Pinto, Dario AU - Lotta, Antonio TI - A Frankel type theorem for CR submanifolds of Sasakian manifolds JO - Archivum mathematicum PY - 2023 SP - 369 EP - 381 VL - 59 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2023-5-369/ DO - 10.5817/AM2023-5-369 LA - en ID - 10_5817_AM2023_5_369 ER -
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Di Pinto, Dario; Lotta, Antonio. A Frankel type theorem for CR submanifolds of Sasakian manifolds. Archivum mathematicum, Tome 59 (2023) no. 5, pp. 369-381. doi: 10.5817/AM2023-5-369
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