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Submersions of CR submanifolds

Submersions of CR submanifolds
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Weakly Einstein Equivalence in a Golden Space Form and Certain CR-submanifolds

Mathematica Slovaca, 2023
It is known that the Golden space form may not be an Einstein manifold. In this paper, it is shown that the condition to be Einstein for a Golden space form is equivalent to being weakly Einstein.
Jihun Kim, Jeonghyeong Park, Bayram Şahin   +2 more
semanticscholar   +1 more source

The 1-jet determination of stationary discs attached to generic CR submanifolds

Complex Analysis and its Synergies, 2021
The existence of a non-defective stationary disc attached to a non-degenerate model quadric in $${\mathbb {C}}^N$$ C N is a necessary condition to ensure the unique 1-jet determination of the lifts of a key family of stationary discs [ 6 ]. In this paper,
F. Bertrand, F. Meylan
semanticscholar   +1 more source

Optimal inequalities for contact CR-submanifolds in almost contact metric manifolds

, 2021
In [An optimal inequality forCR-warped products in complex space forms involvingCRδ-invariant, Internat. J. Math. 23(3) (2012)], B.-Y. Chen introduced the CRδ-invariant for CR-submanifolds.
Andreea Olteanu
semanticscholar   +1 more source

Some classes of CR submanifolds with an umbilical section of the nearly Kähler S3×S3

, 2021
Recently, the investigation of a CR submanifolds of the nearly Kahler manifold S 3 × S 3 was started. In this paper it is proved that CR submanifolds of the nearly Kahler manifold S 3 × S 3 with umbilical sections must have dimension three and then we ...
Nataša Djurdjević
semanticscholar   +1 more source

On some geometric properties of CR-submanifolds of a Sasakian manifold

, 2020
In this paper, we study the geometry of the contact CR-submanifolds of a Sasakian manifold. By searching the parallelism conditions of the tensors reduced in the submanifolds, some properties and results obtained from the definition of the contact CR ...
S. Dirik
semanticscholar   +1 more source

Study on CR-submanifolds of Lorentzian para-Kenmotsu manifolds

Filomat
In this research paper, our investigation focuses on exploring outcomes related to pseudo parallel paracontact CR-submanifolds, considering both Chaki?s and Deszcz?s definitions.
C. Aishwarya, V. Venkatesha
semanticscholar   +1 more source

Weyl metrizability of 3-dimensional projective structures and CR submanifolds

Mathematische Zeitschrift
A projective structure is Weyl metrizable if it has a representative that preserves a conformal structure. We interpret Weyl metrizability of 3-dimensional projective structures as certain 5-dimensional nondegenerate CR submanifolds in a class of 7 ...
Omid Makhmali
semanticscholar   +1 more source

Riemannian maps of CR-submanifolds of Kaehler manifolds

Mathematica Slovaca
In this paper, Riemannian maps from a CR-submanifold of an almost Hermitian manifold to another almost Hermitian manifold are studied. Such Riemannian maps include the special class of CR-submersions, which are well known in the literature.
Bayram Şahin
semanticscholar   +1 more source

Submersions of Contact CR-Submanifolds of Generalized Quasi Sasakian Manifolds

, 2020
In this paper, we discuss some properties of almost contact metric submersion of contact CR-submanifolds of generalized quasi-Sasakian manifold and derive some results based on their curvatures’s differential geometry. We also study de-Rham cohomology of
M. Siddiqi
semanticscholar   +1 more source