Results 81 to 90 of about 2,645,036 (193)

Holomorphic Distributions on a Generic Submanifold [PDF]

application/pdfAn integral formula for the Ricci tensor of a generic submanifold immersed in a complex projective space is given. As an application, the relation of the integrability condition of theholomorphic distribution and the Ricci curvature of a ...
Kon, Masahiro
core   +2 more sources

Robust Bayesian Inference on Riemannian Submanifold [PDF]

, 2023
Non-Euclidean spaces routinely arise in modern statistical applications such as in medical imaging, robotics, and computer vision, to name a few. While traditional Bayesian approaches are applicable to such settings by considering an ambient Euclidean ...
Yang, Yun, Bhattacharya, Anirban, Tang, Rong, Pati, Debdeep   +3 more
core  

Guidelines for statistical projects: Coding and Typography (Part III)

, 2017
Every student has a lot to learn when working on a statistical research or course project for the first time. This new column ”StatPro” contributed by Drs.
Hofert, M, Schepsmeier, U
core  

Geometry of chen invariants in statistical warped product manifolds

, 2020
In this paper, we derive Chen inequality for statistical submanifold of statistical warped product manifolds R x (f) M. Further, we derive Chen inequality for Legendrian statistical submanifold in statistical warped product manifolds R x (f) M.
Chen, Bang-Yen, Murathan, Cengizhan, Shahid, Mohammad Hasan, Bansal, Pooja, Al-Solamy, Falleh Rijaullah   +4 more
core   +1 more source

Submanifold Dirac operators with torsion

, 2004
The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this ar-ticle, we will give a submanifold Dirac operator defined over a surface immersed in E4 with U(1 ...
Shigeki Matsutani
core  

Inequality Constraints on Statistical Submanifolds of Norden-Golden-like Statistical Manifold

Symmetry
This paper explores novel inequalities for statistical submanifolds within the framework of the Norden golden-like statistical manifold. By leveraging the intrinsic properties of statistical manifolds and the structural richness of Norden golden geometry, we establish fundamental relationships between the intrinsic and extrinsic invariants of ...
Amit Kumar Rai, Majid Ali Choudhary, Mohammed Nisar, Foued Aloui   +3 more
openaire   +2 more sources

Journal of the Statistical Society.

Mode of access: Internet.Vols. 36-50, 1873-87. 1 v.
Statistical Society (Great Britain)
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Guidelines for statistical projects: General Aspects (Part I)

, 2016
Every student has a lot to learn when working on a statistical research or course project for the first time. This new column ”StatPro” contributed by Drs.
Hofert, M, Schepsmeier, U
core  

On generic submanifold of Sasakian manifold with concurrent vector field

, 2019
In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic ...
Halil ibrahim Yoldaş, Yoldaş, Halil İbrahim, Erol Yaşar, Şemsi Eken meriç, Yaşar, Erol, Meriç, Şemsi Eken   +5 more
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Optimization methods to statistical submanifolds in statistical warped product manifolds

Filomat
This research paper strives to address the utilization of an optimization technique on subman-ifolds. Specifically, it explores the concept of treating geometric inequalities as optimization challenges. Within this framework, the paper examines two categories of inequalities: the optimal Casorati inequalities and the Chen-Ricci inequality.
Aliya Siddiqui, Fatemah Mofarreh, Ali Alkhaldi, Ali Akram   +3 more
openaire   +1 more source