Results 91 to 100 of about 277 (116)

Recent Advances in Metallic Riemannian Geometry: A Comprehensive Review

Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in differential geometry. Building upon this concept, C. E. Hreţcanu and M. Crasmareanu laid the foundation for metallic Riemannian manifolds in 2013.
Chen, Bang-Yen, Choudhary, Majid Ali, Perween, Afshan   +2 more
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Constant sectional curvature surfaces with a semi-symmetric non-metric connection

Consider the Euclidean space $\mathbb{R}^3$ endowed with a canonical semi-symmetric non-metric connection determined by a vector field $\mathsf{C}\in\mathfrak{X}(\mathbb{R}^3)$.
Aydin, Muhittin Evren, López, Rafael, Mihai, Adela   +2 more
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On Chen invariants and inequalities in quaternionic geometry [PDF]

A Bejancu, A Besse, A Carriazo, A Carriazo, A Gray, A Mihai, A Mihai, A Oiagă, B Suceavă, B Şahin, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, D Cioroboiu, DW Yoon, DW Yoon, DW Yoon, F Casorati, F Defever, G Li, Gabriel-Eduard Vîlcu, GE Vîlcu, GE Vîlcu, I Mihai, I Mihai, J-S Kim, J-S Kim, J-S Kim, J-S Kim, K Arslan, K Arslan, K Arslan, LM Fernández, M Barros, M Berger, MH Shahid, MM Tripathi, MM Tripathi, N Aktan, N Papaghiuc, P Alegre, S Decu, S Decu, S Deng, S Deng, S Hong, S Ishihara, S Salamon, SS Chern, SS Shukla, T Adachi, T Oprea, X Liu, X Liu, X Liu, Y Hong   +64 more
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On the sectional curvature of lightlike submanifolds [PDF]

A Carriazo, A Mihai, A Mihai, A Oiagă, B Suceavă, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, B-Y Chen, C Özgür, CL Bejan, CW Lee, DW Yoon, Erol Kılıç, F Dillen, FP Schuller, G Li, GE Vilcu, GE Vilcu, H Baum, I Mihai, JW Lee, K Arslan, K Matsumoto, K Nomizu, KL Duggal, KL Duggal, KL Duggal, KL Duggal, KL Duggal, M Dajczer, M Gülbahar, M Gülbahar, Mehmet Gülbahar, MM Tripathi, MM Tripathi, N Aktan, P Alegre, P Griffiths, P Zhang, PJ Smet De, R Punzi, RS Gupta, RS Kulkarni, S Costache, S Decu, S Deng, S Hong, S Uddin, SG Harris, SS Shukla, T Oprea, T Sasahara, V Slesar, X Liu, YH Kim   +56 more
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Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MURATHAN, CENGİZHAN, Siddiqui, Aliya Naaz, Erken, Irem Küpeli   +2 more
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On Casorati Curvatures of Submanifolds in Pointwise Kenmotsu Space Forms

Mathematical Physics, Analysis and Geometry, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehraj Ahmad Lone, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu   +2 more
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Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms

Bulletin of the Iranian Mathematical Society, 2019
The study of statistical manifolds was initiated by \textit{S.-i. Amari} [Differential-geometrical methods in statistics. Springer, Cham (1985; Zbl 0559.62001)]. \textit{M. E. Aydin} et al. [Filomat 29, No. 3, 465--477 (2015; Zbl 1474.53071)] studied curvature properties of submanifolds in statistical manifolds of constant curvature, and established ...
Malek, Fereshteh, Akbari, Haniyeh
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Optimization on slant submanifolds of golden Riemannian manifolds using generalized normalized $$\delta $$-Casorati curvatures

Journal of Geometry, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choudhary, Majid Ali, Park, Kwang-Soon
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Inequalities for generalized normalized $$\delta $$-Casorati curvatures of slant submanifolds in metallic Riemannian space forms

Journal of Geometry, 2020
Chen's invariants (also known as \(\delta\)-invariants) are a tool for studying the relation between intrinsic invariants and extrinsic invariants, by establishing a sharp inequality. The concept of slant submanifold was introduced by \textit{B.-Y. Chen} [Geometry of slant submanifolds. Leuven: Kath. Univ. Leuven, Dept.
Majid Ali Choudhary, Adara M. Blaga
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Inequalities for Algebraic Casorati Curvatures and Their Applications II

Springer Proceedings in Mathematics and Statistics, 2017
Different kind of algebraic Casorati curvatures are introduced. A result expressing basic Casorati inequalities for algebraic Casorati curvatures is presented and equality cases are discussed. As their applications, basic Casorati inequalities for different \(\delta \)-Casorati curvatures for different kind of submanifolds of quaternionic space forms ...
Young Jin Suh, Mukut Mani Tripathi
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