Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds [PDF]
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur +2 more
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms [PDF]
In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi +3 more
doaj +4 more sources
In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
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Inequalities for submanifolds of Sasaki-like statistical manifolds
Summary: We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
Aytimur, Hülya, Özgür, Cihan
openaire +2 more sources
Efficient generation of marmoset primordial germ cell-like cells using induced pluripotent stem cells. [PDF]
Seita Y +12 more
europepmc +1 more source
Cell-cell junction gene signatures as subtype-specific prognostic biomarkers in breast cancer. [PDF]
Ishii H +6 more
europepmc +1 more source
A Single-Cell Analysis Reveals Macrophage Heterogeneity Driving Plaque Vulnerability in Coronary and Carotid Arteries. [PDF]
Yoshida T +17 more
europepmc +1 more source
Patient-derived orthotopic xenograft models recapitulate the peritoneal dissemination of pancreatic cancer and delineate its transcriptional and regulatory programs. [PDF]
Furukawa T +20 more
europepmc +1 more source
C-C Chemokine Receptor 4 Deficiency Protects Against Abdominal Aortic Aneurysm Formation. [PDF]
Krisnanda A +14 more
europepmc +1 more source
Trans-omics landscape of systemic vasculitis identified matrix metalloproteinase 12 as a novel signature molecule. [PDF]
Matsumoto K +17 more
europepmc +1 more source

