Five-Dimensional Contact CR-Submanifolds in S 7 ( 1 )

Autor: Mirjana Djorić, Marian Ioan Munteanu

Publikováno v: Mathematics, Vol 8, Iss 8, p 1278 (2020)

Due to the remarkable property of the seven-dimensional unit sphere to be a Sasakian manifold with the almost contact structure (φ,ξ,η), we study its five-dimensional contact CR-submanifolds, which are the analogue of CR-submanifolds in (almost) K

Externí odkaz: https://doaj.org/article/f5e97cf1a3494958a07b79e50fc05e7f

Certain submanifolds of complex space forms

Autor: Mirjana Djorić, Masafumi Okumura

Publikováno v: São Paulo Journal of Mathematical Sciences. 15:111-126

After recalling the geometric meaning of the commutativity of the second fundamental tensor of a real hypersurface of a complex space form and its induced almost contact structure, we present some classification theorems for CR submanifolds of maxima

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a941afcfd3498b59f2e9aac96b45a9e3
https://doi.org/10.1007/s40863-020-00174-4

Geodesic lines on nearly Kähler S3×S3

Autor: Mirjana Djorić, Marilena Moruz, Miloš Djorić

Publikováno v: Journal of Mathematical Analysis and Applications. 466:1099-1108

A nearly Kahler manifold is an almost Hermitian manifold with the weakened Kahler condition, that is, instead of being zero, the covariant derivative of the almost complex structure is skew-symmetric. We give the explicit parametrization of geodesic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::df4657aca781875336c2a88e334bebac
https://doi.org/10.1016/j.jmaa.2018.06.040

Real hypersurfaces of the homogeneous nearly Kähler S3×S3 with P-isotropic normal

Autor: Mirjana Djorić, Miloš Djorić, Marilena Moruz

Publikováno v: Journal of Geometry and Physics. 160:103945

We study hypersurfaces of the homogeneous nearly Kahler manifold S 3 × S 3 which have P -isotropic normal vector field. We describe the immersion of such hypersurfaces in S 3 × S 3 and we give one example. We prove that they cannot be either Hopf o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1723c496f85b7b75be14b0cf12973060
https://doi.org/10.1016/j.geomphys.2020.103945

Four-dimensional contact CR-submanifolds in S7(1)

Autor: Marian Ioan Munteanu, Luc Vrancken, Mirjana Djorić

Publikováno v: Mathematical News / Mathematische Nachrichten
Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2017, 290 (16), pp.2585-2596. ⟨10.1002/mana.201600437⟩

The analogue of CR-submanifolds in (almost) Kahlerian manifolds is the concept of contact CR-submanifolds in Sasakian manifolds. These are submanifolds for which the structure vector field ξ is tangent to the submanifold and for which the tangent bu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2be8906ea6e58030165e2d1c5ca58306
https://hal-uphf.archives-ouvertes.fr/hal-03148573