On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Sağlamer, Ayşe Funda; Çalişkan, Nesrin

doi:10.33401/fujma.469933

Fundamental Journal of Mathematics and Applications

2018

DOI: 10.33401/fujma.469933

|View full text |Cite

On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Ayşe Funda Sağlamer

Nesrin Çalişkan

Abstract: We define trans-Sasakian Finsler manifoldF 2n+1 = (N ,N ,F) and semi-invariant submanifold F m = (N , N , F) of a trans-Sasakian Finsler manifoldF 2n+1 . Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 4 publications

(2 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

Construction of Networks by Associating with Submanifolds of Almost Hermitian Manifolds

Gürsoy

2022

Fundamental Journal of Mathematics and Applications

View full text Add to dashboard Cite

The idea that data lies in a non-linear space has brought up the concept of manifold learning as a part of machine learning and such notion is one of the most important research fields of today. The main idea here is to design the data as a submanifold model embedded in a high-dimensional manifold. On the other hand, graph theory is one of the most important research areas of applied mathematics and computer science. As a result, many researchers investigate new methods for machine learning on graphs. From the above information, it is seen that the theory of submanifolds and graph theory have become two important concepts in machine learning and nowadays, the geometric deep learning research area using these two concepts has emerged. By combining these two fields, this article aims to present the relationships between submanifolds of complex manifolds with the help of graphs. In this paper, we build some directed networks by identifying with submanifolds of almost Hermitian manifolds. Moreover, we give some results and relations among holomorphic submanifolds, totally real submanifolds, CR-submanifolds, slant submanifolds, semi-slant submanifolds, hemi-slant submanifolds, and bi-slant submanifolds in almost Hermitian manifolds in terms of graph theory.1. D 1 is a bipartite digraph as well as a complete bipartite digraph. 2. D 1 has a perfect matching.

show abstract

Construction of Networks by Associating with Submanifolds of Almost Hermitian Manifolds

Gürsoy

2022

Fundamental Journal of Mathematics and Applications

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Abstract: We define trans-Sasakian Finsler manifoldF 2n+1 = (N ,N ,F) and semi-invariant submanifold F m = (N , N , F) of a trans-Sasakian Finsler manifoldF 2n+1 . Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.

Cited by 1 publication

References 4 publications

Construction of Networks by Associating with Submanifolds of Almost Hermitian Manifolds

Construction of Networks by Associating with Submanifolds of Almost Hermitian Manifolds

Contact Info

Product

Resources

About