Semi-Slant Submanifolds of T-Manifolds

Abstract

Abstract. J. L. Cabrerizo et al.[5] studied slant submanifolds of Sasakian and Kcontact manifolds. Semi-slant submanifolds were introduced as a generalized version of CR-submanifold. Cabrerizo et al. [4] obtained interesting results for the semi-slant submanifold of Sasakian manifolds. The purpose of the present paper is to study slant and semi-slant submanifolds of a T-manifold. IntroductionThe study of differential geometry of slant submanifolds of a Kaehler manifold was initiated by B. Y. Chen [9]. Later, A. Lotta [10] extended the study of the slant immersions in contact manifolds. N. Papaghiuc [11] introduced the notion of semi-slant submanifold of almost Hermitian manifolds, which is in fact a generalization of CR-submanifold. Cabrerizo et al. [4] extended the idea of semi-slant submanifold to the setting of Sasakian manifold. C. Calin [6] studied CR-submanifold of a T-manifold. To extend this study it is important to investigate semi-slant submanifolds of a T-manifold. PreliminariesLet M be a (2n + s)-dimensional differentiate manifold of class C°° endowed with a (f>-structure of rank 2n. According to Blair [3], the <p-structure (f> is said to be a complemented frame if there exist structure vector fields £ 2 ,..., and its dual 1-forms 771,772, • • •, % such thatwhere 5a denotes the Kronecker delta and a, ¡3 = 1,..., s.1991 Mathematics Subject Classification: 53C40; 53B25.

Comparative therapeutic efficacy of tiamulin and pulmotil in infected broiler and layer flocks with Mycoplasma gallisepticum

“…Use of tiamulin along with chlorteracycline (tetramotin) or tiamolin with doxycycline, increased their treatment effect, because of the synergistic effects (Kjan et al, 2006). Antagonistic effect of tiamulin and some other ionophors like monensin, naracin and salinomycine should be concerned.…”

“…Vaccination, nutrition, environmental condition and management in all groups were same. At the end of 2 months period, egg production, in layer flock body weight gain and FCR, in broiler flock necropsy finding and mortality in all groups caused by CRD and other lesions, were measured (Kjan et al, 2006, Youxiang et al, 2008. To investigate the effects of tiamulin and pulmotil along with other effective drugs on Mycoplasma (tylosin, entrofloxacin, doxycycline and erythromycin) in both layer and broiler flocks, pleuropneumonia-like organisms (PPLO)-Broth culture media, PPLO-Agar and minimum inhibitory concentration (MIC) test have been done (Kjan et al, 2006, Wary andDavies, 2002).…”

“…Therefore, the present study was conducted to study the efficacy of different antibiotics being used against MG in broilers in the prevailing field situation (Kjan et al, 2006). Means with unlike superscripts letters differ (P < 0.05).…”

Bi-Slant Submanifolds of Para Hermitian Manifolds

“…Chen and C. Murathan defined slant submanifolds of a neutral Kaehler manifold in [3], while A. Carriazo and M. J. Pérez-García did in neutral almost contact pseudo-metric manifolds in [11]. Moreover, M. A. Khan, K. Singh and V. A. Khan introduced slant submanifolds in LP-contact manifolds in [15], and P. Alegre studied slant submanifolds of Lorentzian Sasakian and para Sasakian manifolds in [1]. Finally, slant submanifolds of para Hermitian manifolds were defined in [2].…”

Warped product submanifolds of Lorentzian paracosymplectic manifolds

“…In addition, in 1989, Matsumoto [27] replaced the structure vector field ξ by − ξ in an almost paracontact manifold and associated a Lorentzian metric with the resulting structure and called it a Lorentzian almost paracontact manifold. Later on several authors studied Lorentzian almost paracontact manifolds, their different classes, such as Lorentzian paracosymplectic manifolds and Lorentzian para-Sasakian manifolds (see [25,31]) and their submanifolds (see [16,17,22,32,36,37]). …”