Access the full text.
Sign up today, get DeepDyve free for 14 days.
I. Kim (1982)
Special concircular vector fields in Riemannian manifoldsHiroshima Mathematical Journal, 12
H. El-Sayied, S. Shenawy, N. Syied (2016)
On symmetries of generalized Robertson-Walker spacetimes and applicationsJournal of Dynamical Systems and Geometric Theories, 15
H. El-Sayied, S. Shenawy, N. Syied (2017)
Symmetries of f−associated standard static spacetimes and applicationsJournal of the Egyptian Mathematical Society, 25
Hukum Singh, Q. Khan (1999)
On symmetric Riemannian manifolds.Novi Sad Journal of Mathematics, 29
H. El-Sayied, S. Shenawy, N. Syied (2018)
Locally symmetric f−associated standard static spacetimesMathematical Methods in the Applied Sciences, 41
G. Pokhariyal (1982)
Relativistic segnificance of curvature tensorsInternational Journal of Mathematics and Mathematical Sciences, 5
S. Shenawy, Bülent Ünal (2016)
The W2-curvature tensor on warped product manifolds and applicationsInternational Journal of Geometric Methods in Modern Physics, 13
S. Shenawy, B. Unal (2014)
Corrigendum: 2-Killing vector fields on warped product manifoldsInternational Journal of Mathematics
J. Flores, Miguel Caja (2000)
Geodesic connectedness and conjugate points in GRW space-timesJournal of Geometry and Physics, 36
F. Gouli-Andreou, Evaggelia Moutafi (2014)
On the concircular curvature of a (κ,μ,ν)-manifoldPacific Journal of Mathematics, 269
E. Boeckx (1993)
Einstein-like semi-symmetric spaces, 29
D. Allison, Bülent Ünal (2003)
Geodesic structure of standard static space–timesJournal of Geometry and Physics, 46
Z. Ahsan, S. Siddiqui (2009)
Concircular Curvature Tensor and Fluid SpacetimesInternational Journal of Theoretical Physics, 48
P Majhi, UC De (2013)
Concircular curvature tensor on $$K$$ K -contact manifoldsActa Mathematica Academiae Paedagogicae Nyregyhaziensis, 29
D. Allison (1988)
Geodesic completeness in static space-timesGeometriae Dedicata, 26
F Gouli-Andreou, E Moutafi (2014)
On the concircular curvature of a $$\left( k,\mu ,\nu \right) $$ k , μ , ν -manifoldPac. J. Math., 269
Bang‐Yen Chen (2015)
SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONSBulletin of The Korean Mathematical Society, 52
G. Catino, C. Mantegazza, L. Mazzieri (2012)
A note on Codazzi tensorsMathematische Annalen, 362
G. Pokhariyal, R. Mishra (1970)
Curvature tensors and their relativistic significance (II), 18
GP Pokhariyal, RS Mishra (1970)
Curvature tensors in Riemannian manifoldsIndian J. Pure Appl. Math., 2
D. Allison (1988)
Energy conditions in standard static spacetimesGeneral Relativity and Gravitation, 20
B. O'neill (1983)
Semi-Riemannian Geometry With Applications to Relativity
K. Yano (1940)
Concircular Geometry I. Concircular Transformations, 16
(2017)
Sameh Shenawy and N
Karina Olszak, Z. Olszak (2011)
On pseudo-Riemannian manifolds with recurrent concircular curvature tensorActa Mathematica Hungarica, 137
P. Majhi (2013)
CONCIRCULAR CURVATURE TENSOR ON K-CONTACT MANIFOLDS
N. Youssef, A. Soleiman (2012)
On concircularly recurrent Finsler manifoldsarXiv: Differential Geometry
Miguel Caja (1999)
On the geometry of generalized Robertson-Walker spacetimes: curvature and Killing fieldsJournal of Geometry and Physics, 31
R. Bishop, B. O'neill (1969)
Manifolds of negative curvatureTransactions of the American Mathematical Society, 145
P Majhi, UC De (2015)
Classifications of $$N(k)$$ N ( k ) -contact metric manifolds satisfying certain curvature conditionsActa Math. Univ. Comenianae, LXXXIV
P. Majhi, U. De (2015)
Classifications of N(k)-contact metric manifolds satisfying certain curvature conditions, 84
Miguel Caja (1998)
On the Geometry of Generalized Robertson-Walker Spacetimes: GeodesicsGeneral Relativity and Gravitation, 30
(2008)
Einstein Manifolds, Classics in Mathematics
HK El-Sayied, S Shenawy, N Syied (2017)
Symmetries of $$f$$ f -associated standard static spacetimes and applicationsJ. Egypt. Math. Soc., 25
(2021)
[Book] Tensors Mathematics Of Differential Geometry And Relativity
GP Pokhariyal (1974)
Curvature tensors in Riemannian manifolds IIProc. Math. Sci., 79
DE Allison, B Ünal (2003)
Geodesic completeness in static space-timeJ. Geom. Phys., 46
H. El-Sayied, S. Shenawy, Noha Sayed (2015)
Doubly warped product admitting special conformal vector fieldsarXiv: Differential Geometry
矢野 健太郎, 昆 正博 (1984)
Structures on manifolds
S Shenawy, B Ünal (2015)
$$2$$ 2 -Killing vector fields on warped product manifoldsInt. J. Math., 26
G. Pokhariyal (1974)
Curvature tensors in riemannian manifold—IIProceedings of the Indian Academy of Sciences - Section A, 79
HK El-Sayied, S Shenawy, N Syied (2018)
Locally symmetric $$f$$ f -associated standard static spacetimesMath. Methods Appl. Sci, 41
M. Zlatanovic, I. Hinterleitner, Marija Najdanovic (2014)
On equitorsion concircular tensors of generalized Riemannian spacesFilomat, 28
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
This study aims mainly at investigating the effects of concircular flatness and concircular symmetry of a warped product manifold on its fiber and base manifolds. Concircularly flat and concircularly symmetric warped product manifolds are investigated. The divergence-free concircular curvature tensor on warped product manifolds is considered. Finally, we apply some of these results to generalized Robertson–Walker and standard static space-times.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Sep 17, 2020
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.