Umbilical CR submanifolds of the nearly Kahler S^3xS^3
Само за регистроване кориснике
2022
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Recently, the investigation of a CR submanifolds of the nearly Kähler
manifold S^3×S^3 was started. After obtained classifications with respect to positions which the distributions D_1, D_2 and D_3 have under an action of the almost product structure P, obtained are some classes of the CR submanifolds of S^3×S^3 which have an umbilical section. It is proved that CR submanifolds of the nearly Kähler manifold S^3×S^3 with umbilical sections must have dimension three and then we obtain some examples of them with distinguished vector fields. Also, we classify minimal submanifolds that have a vector field E4 as an umbilical section. The main result is classification of the three-dimensional umbilical CR submanifolds with totally geodesic an almost complex distribution.
Извор:
XXI Geometrical Seminar - Book of abstracts, 2022, 23-Издавач:
- Matematički fakultet, Studentski trg 16, Beograd
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200116 (Универзитет у Београду, Пољопривредни факултет) (RS-MESTD-inst-2020-200116)
Институција/група
Poljoprivredni fakultetTY - CONF AU - Djurdjević, Nataša PY - 2022 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/6794 AB - Recently, the investigation of a CR submanifolds of the nearly Kähler manifold S^3×S^3 was started. After obtained classifications with respect to positions which the distributions D_1, D_2 and D_3 have under an action of the almost product structure P, obtained are some classes of the CR submanifolds of S^3×S^3 which have an umbilical section. It is proved that CR submanifolds of the nearly Kähler manifold S^3×S^3 with umbilical sections must have dimension three and then we obtain some examples of them with distinguished vector fields. Also, we classify minimal submanifolds that have a vector field E4 as an umbilical section. The main result is classification of the three-dimensional umbilical CR submanifolds with totally geodesic an almost complex distribution. PB - Matematički fakultet, Studentski trg 16, Beograd C3 - XXI Geometrical Seminar - Book of abstracts T1 - Umbilical CR submanifolds of the nearly Kahler S^3xS^3 SP - 23 UR - https://hdl.handle.net/21.15107/rcub_agrospace_6794 ER -
@conference{ author = "Djurdjević, Nataša", year = "2022", abstract = "Recently, the investigation of a CR submanifolds of the nearly Kähler manifold S^3×S^3 was started. After obtained classifications with respect to positions which the distributions D_1, D_2 and D_3 have under an action of the almost product structure P, obtained are some classes of the CR submanifolds of S^3×S^3 which have an umbilical section. It is proved that CR submanifolds of the nearly Kähler manifold S^3×S^3 with umbilical sections must have dimension three and then we obtain some examples of them with distinguished vector fields. Also, we classify minimal submanifolds that have a vector field E4 as an umbilical section. The main result is classification of the three-dimensional umbilical CR submanifolds with totally geodesic an almost complex distribution.", publisher = "Matematički fakultet, Studentski trg 16, Beograd", journal = "XXI Geometrical Seminar - Book of abstracts", title = "Umbilical CR submanifolds of the nearly Kahler S^3xS^3", pages = "23", url = "https://hdl.handle.net/21.15107/rcub_agrospace_6794" }
Djurdjević, N.. (2022). Umbilical CR submanifolds of the nearly Kahler S^3xS^3. in XXI Geometrical Seminar - Book of abstracts Matematički fakultet, Studentski trg 16, Beograd., 23. https://hdl.handle.net/21.15107/rcub_agrospace_6794
Djurdjević N. Umbilical CR submanifolds of the nearly Kahler S^3xS^3. in XXI Geometrical Seminar - Book of abstracts. 2022;:23. https://hdl.handle.net/21.15107/rcub_agrospace_6794 .
Djurdjević, Nataša, "Umbilical CR submanifolds of the nearly Kahler S^3xS^3" in XXI Geometrical Seminar - Book of abstracts (2022):23, https://hdl.handle.net/21.15107/rcub_agrospace_6794 .