Recently, Sahin studied the warped product semislant submanifolds of locally product Riemannian manifolds. In this paper, we obtain some geometric properties of such submanifolds with an example. Also, we establish a sharp relationship between the squared norm of the second fundamental form and the warping function in terms of the slant angle. The equality case is also considered.
slant submanifolds, semislant submanifolds, mixed totally geodesic, warped product semislant submanifolds, locally product Riemannian manifolds
Primary Language  English 

Subjects  Mathematics 
Journal Section  Mathematics 
Authors 

Publication Date  April 1, 2019 
Published in Issue  Year 2019, Volume 48, Issue 2 
Bibtex  @research article { hujms546354, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651477X}, eissn = {2651477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, number = {2}, pages = {351  358}, title = {An inequality for warped product submanifolds of a locally product Riemannian manifold}, key = {cite}, author = {Alsolamy, Falleh R. and Uddin, Siraj} } 
APA  Alsolamy, F. R. & Uddin, S. (2019). An inequality for warped product submanifolds of a locally product Riemannian manifold . Hacettepe Journal of Mathematics and Statistics , 48 (2) , 351358 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/44314/546354 
MLA  Alsolamy, F. R. , Uddin, S. "An inequality for warped product submanifolds of a locally product Riemannian manifold" . Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 351358 <https://dergipark.org.tr/en/pub/hujms/issue/44314/546354> 
Chicago  Alsolamy, F. R. , Uddin, S. "An inequality for warped product submanifolds of a locally product Riemannian manifold". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 351358 
RIS  TY  JOUR T1  An inequality for warped product submanifolds of a locally product Riemannian manifold AU  Falleh R.Alsolamy, SirajUddin Y1  2019 PY  2019 N1  DO  T2  Hacettepe Journal of Mathematics and Statistics JF  Journal JO  JOR SP  351 EP  358 VL  48 IS  2 SN  2651477X2651477X M3  UR  Y2  2016 ER  
EndNote  %0 Hacettepe Journal of Mathematics and Statistics An inequality for warped product submanifolds of a locally product Riemannian manifold %A Falleh R. Alsolamy , Siraj Uddin %T An inequality for warped product submanifolds of a locally product Riemannian manifold %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651477X2651477X %V 48 %N 2 %R %U 
ISNAD  Alsolamy, Falleh R. , Uddin, Siraj . "An inequality for warped product submanifolds of a locally product Riemannian manifold". Hacettepe Journal of Mathematics and Statistics 48 / 2 (April 2019): 351358 . 
AMA  Alsolamy F. R. , Uddin S. An inequality for warped product submanifolds of a locally product Riemannian manifold. Hacettepe Journal of Mathematics and Statistics. 2019; 48(2): 351358. 
Vancouver  Alsolamy F. R. , Uddin S. An inequality for warped product submanifolds of a locally product Riemannian manifold. Hacettepe Journal of Mathematics and Statistics. 2019; 48(2): 351358. 
IEEE  F. R. Alsolamy and S. Uddin , "An inequality for warped product submanifolds of a locally product Riemannian manifold", Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 2, pp. 351358, Apr. 2019 