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## On Submanifolds in a Riemannian Manifold with Golden Structure

#### Mobin Ahmad [1] , Mohammad Aamir Qayyoom [2]

##### 57 70

A golden Riemannian structure $(J,g)$ on a Riemannian  manifold is given by a tensor field $J$ of type $(1,1)$ satisfying the golden section relation $J^{2}=J+I,$ and a pure Riemannian metric $g$, that is  a metric satisfying $g(JX,Y)=g(X,JY).$ We investigate  some fundamental properties of the induced structure on submanifolds immersed in golden Riemannian manifolds. We obtain effective relations for some induced structures on submanifolds of codimension 2. We also construct an example on submanifold of a golden Riemannian manifold.
Golden structure, Riemannian manifold, totally geodesics, normal induced structure, killing vector fields
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Primary Language en Mathematics Articles Orcid: 1234-2341-3412-412XAuthor: Mobin Ahmad (Primary Author)Institution: Integral UniversityCountry: India Orcid: 0000-0001-5942-1561Author: Mohammad Aamir QayyoomInstitution: Integral UniversityCountry: India Publication Date: June 30, 2019
 Bibtex @research article { tjmcs505111, journal = {Turkish Journal of Mathematics and Computer Science}, issn = {}, eissn = {2148-1830}, address = {Matematikçiler Derneği}, year = {2019}, volume = {11}, pages = {8 - 23}, doi = {}, title = {On Submanifolds in a Riemannian Manifold with Golden Structure}, key = {cite}, author = {Ahmad, Mobin and Qayyoom, Mohammad Aamir} } APA Ahmad, M , Qayyoom, M . (2019). On Submanifolds in a Riemannian Manifold with Golden Structure. Turkish Journal of Mathematics and Computer Science, 11 (1), 8-23. Retrieved from http://dergipark.org.tr/tjmcs/issue/46614/505111 MLA Ahmad, M , Qayyoom, M . "On Submanifolds in a Riemannian Manifold with Golden Structure". Turkish Journal of Mathematics and Computer Science 11 (2019): 8-23 Chicago Ahmad, M , Qayyoom, M . "On Submanifolds in a Riemannian Manifold with Golden Structure". Turkish Journal of Mathematics and Computer Science 11 (2019): 8-23 RIS TY - JOUR T1 - On Submanifolds in a Riemannian Manifold with Golden Structure AU - Mobin Ahmad , Mohammad Aamir Qayyoom Y1 - 2019 PY - 2019 N1 - DO - T2 - Turkish Journal of Mathematics and Computer Science JF - Journal JO - JOR SP - 8 EP - 23 VL - 11 IS - 1 SN - -2148-1830 M3 - UR - Y2 - 2019 ER - EndNote %0 Turkish Journal of Mathematics and Computer Science On Submanifolds in a Riemannian Manifold with Golden Structure %A Mobin Ahmad , Mohammad Aamir Qayyoom %T On Submanifolds in a Riemannian Manifold with Golden Structure %D 2019 %J Turkish Journal of Mathematics and Computer Science %P -2148-1830 %V 11 %N 1 %R %U ISNAD Ahmad, Mobin , Qayyoom, Mohammad Aamir . "On Submanifolds in a Riemannian Manifold with Golden Structure". Turkish Journal of Mathematics and Computer Science 11 / 1 (June 2019): 8-23. AMA Ahmad M , Qayyoom M . On Submanifolds in a Riemannian Manifold with Golden Structure. TJMCS. 2019; 11(1): 8-23. Vancouver Ahmad M , Qayyoom M . On Submanifolds in a Riemannian Manifold with Golden Structure. Turkish Journal of Mathematics and Computer Science. 2019; 11(1): 23-8.