Structures and $\mathcal{D}$-isometric warping

References (1)

1. \bibitem{BAR} C. B\"ar, \textit{Real Killing spinors and holonomy}, Comm. Math. Phys., \textbf{154} (1993), 509-521. \bibitem{BB} G. Beldjilali, M. Belkhelfa, {\it K\"ahlerian structures on $\mathcal{D}$-homothetic bi-warping}, JGSP {\bf 42} (2016) 1-13. \bibitem{BB2} G. Beldjilali, M. Belkhelfa, {\it K\"ahlerian structures on generalized doubly $\mathcal{D}$-homothetic bi-warping}, African Diaspora Journal of Mathematics, Vol. {\bf 21} N. 2 (2018) 1-14. \bibitem{CHE} B. Y. Chen, {\it Geometry of submanifolds}, Marcel Dekker. Ine. New York, 1973. \bibitem{BL1} D. E. Blair, {\it Contact Manifolds in Riemannian Geometry}, 17-35, Lecture Nots in Mathematics 509, Springer, 1976. \bibitem{BL2} D. E. Blair, {\it Riemannian Geometry of Contact and Symplectic Manifolds}, Progress in Mathematics Vol. {\bf 203}, Birhauser, Boston, 2002. \bibitem{BL3} D. E. Blair, J. A. Oubi$\tilde{n}$a, {\it Conformal and related changes of metric on the product of two almost contact metric manifolds}, Publ. Mat. {\bf 34} (1), 199-207 (1990). \bibitem{BL5} D. E. Blair, {\it $\mathcal{D}$-homothetic warping}, Publications de l'institut mathématique, Nouvelle série, tome {\bf 94} (108), 47-54 (2013). \bibitem{CAL} E. Calabi {\it M\'{e}triques k\"{a}hl\'{e}riennes et fibr\'{e}s holomorphes}, Ann. Scient. Ec. Norm.Sup., {\bf 12}(1979), pp. 269-294. \bibitem{OUB} J.A. Oubi$\tilde{n}$a, {\it New classes of almost contact metric structures}, Publicationes Mathematicae, Debrecen, {\bf 32}, 187-193 (1985). \bibitem{TAN} S. Tanno, {\it The topology of contact Riemannian manifolds}, Illinois J. Math. {\bf 12} (1968), 700-717. \bibitem{TA2} S. Tanno, {\it Partially conformal transformations with respect to $(m-1)$-dimensional distribution of $m$-dimensional Riemannian manifolds}, Tohoku Math. J. 1965. {\bf 2},  17. P. 358-409. \bibitem{TM} T. Tshikuna-Matamba, {\it Quelques classes des vari\'et\'es m\'etriques \`a 3-structures presque de contact}, Annals of University of Craiova, Math. Comp. Sci. Ser. Volume {\bf 31}, 2004, Pages 94-101 \bibitem{WY1} Y. Watanabe, {\it Almost Hermitian and K\"{a}hler structures on product manifolds}, Proc of the Thirteenth International Workshop on Diff. Geom. {\bf 13}, (2009) 1-16. \bibitem{WY2} Y. Watanabe, M. Hiroshi, {\it From Sasakian 3-structures to quaternionic geometry}, Archivum Mathematicum, {\bf 34} (1998), 379-386. \bibitem{YK} K. Yano and M. Kon, {\it Structures on Manifolds}, Series in Pure Math., Vol {\bf 3}, World Sci.,1984.