Chen inequalities for statistical submersions between statistical manifolds

作者: Aliya Naaz Siddiqui , Bang-Yen Chen , Mohd Danish Siddiqi , None

DOI: 10.1142/S0219887821500493

关键词:

摘要: We study statistical submersions between manifolds. In particular, we establish Chen–Ricci inequalities of manifolds and a δ(2, 2) Chen-type ...

参考文章(21)
Shun-ichi Amari, α-Divergence and α-Projection in Statistical Manifold Springer, New York, NY. pp. 66- 103 ,(1985) , 10.1007/978-1-4612-5056-2_3
Alina-Daniela Vîlcu, Gabriel-Eduard Vîlcu, Statistical Manifolds with almost Quaternionic Structures and Quaternionic Kähler-like Statistical Submersions Entropy. ,vol. 17, pp. 6213- 6228 ,(2015) , 10.3390/E17096213
Muhittin Aydin, Adela Mihai, Ion Mihai, Some inequalities on submanifolds in statistical manifolds of constant curvature Filomat. ,vol. 29, pp. 465- 477 ,(2015) , 10.2298/FIL1503465A
Barbara Opozda, Bochner’s technique for statistical structures Annals of Global Analysis and Geometry. ,vol. 48, pp. 357- 395 ,(2015) , 10.1007/S10455-015-9475-Z
Bang-Yen Chen, Some pinching and classification theorems for minimal submanifolds Archiv der Mathematik. ,vol. 60, pp. 568- 578 ,(1993) , 10.1007/BF01236084
Bang-Yen Chen, None, Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions Glasgow Mathematical Journal. ,vol. 41, pp. 33- 41 ,(1999) , 10.1017/S0017089599970271
Bang-Yen Chen, None, MEAN CURVATURE AND SHAPE OPERATOR OF ISOMETRIC IMMERSIONS IN REAL-SPACE-FORMS Glasgow Mathematical Journal. ,vol. 38, pp. 87- 97 ,(1996) , 10.1017/S001708950003130X
Naoto Abe, Kazuyuki Hasegawa, An affine submersion with horizontal distribution and its applications Differential Geometry and its Applications. ,vol. 14, pp. 235- 250 ,(2001) , 10.1016/S0926-2245(01)00034-1