Results 21 to 30 of about 109 (91)
Mutation status of stage II‐III Ns‐NSCLC (n = 389) was analyzed using targeted deep sequencing. Patients with an EGFR mutation‐positive status had a significantly shorter recurrence‐free survival (RFS). Both the pathological stage and EGFR mutation status were independent prognostic factors for RFS. Abstract The mutation status of tumor tissue DNA (n =
Toshiaki Takahashi +26 more
wiley +1 more source
ρ‐Einstein Solitons on Warped Product Manifolds and Applications
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
wiley +1 more source
Some New Results on Trans‐Sasakian Manifolds
In this paper, we classify trans‐Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans‐Sasakian manifolds whose Reeb vector fields are harmonic‐Killing. The above results bring some new characterizations for the property of trans‐Sasakian 3‐manifolds.
Lei Wang, Yan Zhao, Antonio Masiello
wiley +1 more source
Para-Kenmotsu manifolds admitting semi-symmetric structures [PDF]
Abstract The object of the present paper is to study para-Kenmotsu manifolds satisfying different conditions of semi-symmetric type.
Sarkar Nihar +2 more
openaire +3 more sources
Conformal η-Ricci soliton in Lorentzian para Kenmotsu manifolds
The objective of the present paper is to study conformal η-Ricci soliton on Lorentzian Para-Kenmotsu manifolds with some curvature conditions. We study Concircular curvature tensor, Quasi conformal curvature tensor, Codazi type of Ricci tensor and cyclic parallel Ricci tensor in Lorentzian Para-Kenmotsu manifolds.
Prasad, Rajendra, Kumar, Vinay
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On the existence of para-Kenmotsu manifolds
This note provides a quite obvious observation that the condition (2.7), which is a part of the original definition of the so-called para-Kenmotsu manifolds [9], does not make sense, and thus this concept is void. So, it is proved that the para-Kenmotsu manifolds does not exist under the condition mentioned above.
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On generalized projective curvature tensor of para-Kenmotsu manifolds
Summary: The object of the present paper is to generalize projective curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor \(\mathcal{Z}\) introduced by \textit{C. A. Mantica} and \textit{Y. J. Suh} [Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250004, 21 p. (2012; Zbl 1244.53019)].
Raghuwanshi, Teerathram +3 more
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Certain results on invariant submanifolds of para-Kenmotsu manifolds
Summary: The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para-Kenmotsu manifolds under some conditions which the submanifolds are totally geodesic. Finally,
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In this paper we study para-Kenmotsu manifolds. We characterize this manifolds by tensor equations and study their properties. We are devoted to a study of ?-Einstein manifolds. We show that a locally conformally flat para-Kenmotsu manifold is a space of constant negative sectional curvature -1 and we prove that if a para-Kenmotsu manifold ...
openaire +3 more sources
Isometric immersions into three‐dimensional unimodular metric Lie groups
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source

