참고문헌
- JB. S. Anitha and C.S. Bagewadi, Invariant Submanifolds of a Sasakian Manifold, Diff. Integral Equ. 16 (10) (2003), 1249-1280.
- K. Arslan, U. Lumiste, C. Murathan and C. Ozgur, 2-Semiparallel Surfaces in Space Forms, Proc. Estonian Acad. Sci. Phys. Math. 49 (2000), 139-148.
- A. C. Asperti, G. A. Lobos and F. Mercuri, Pseudo-Parallel Immersions in Space Forms, Math. Contemp. 17 (1999), 59-70.
- A. Bejancu and N. Papaqhuic, Semi-Invariant Submanifolds of a Sasakian Manifold, An. Sti. Univ. "AL ICUZA" Iasi 27 (1981), 163-170.
- V. Deepmala, K. Drachal and V. N. Mishra, Some algebra-geometric aspects of spacetime c-boundary, Mathematica Aeterna. 6 (4) (2016), 561-572.
- V. Deepmala, L. N. Mishra, Differential operators over models and rings as a path to the generalized differential geonetry, Facta Universitatis(NIS). Ser. Math. Inform. 30 (5) (2015), 753-764.
- Z. Guojing and W. Jiangu, Invariant Submanifolds and Modes of non Linear Autunomous System, Appl. Math. Mech. 19 (1998), 687-693. https://doi.org/10.1007/BF02452377
- K. Matsumoto, On Lorentzian Almost Paracontact Manifold, Yamagata Univ. Nat. Sci 12 (1989), 151-156.
- C. Murathan, K. Arslan and R. Ezentas, Ricci Generalized Paseudo-Parallel Immersions, Diff. Geom. and its Appl. Matfy2press Praque (2005), 99-108.
-
L. Piscoran and V. N. Mishra, Projectively flatness of a new class of (
${\alpha}$ ,${\beta}$ )-metrics, Georgian Math. Journal. 2017, DOI:10.1515gmj-2017-0034. -
L. Piscoran and V. N. Mishra, S-curvature for a new class of (
${\alpha}$ ,${\beta}$ )-metrics, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas (RACSAM), 111 (4) (2017), 1187-1200. DOI:10.1007/s13398-016-0358-3. -
L. Piscoran and V. N. Mishra, The variational problem in Lagrange spaces endowed with a special type of (
${\alpha}$ ,${\beta}$ )-metrics, Filomat. 32 (2) (2018), 643-652. https://doi.org/10.2298/FIL1802643P - C. Ozgur and C. Murathan, On 2-Pseudo parallel Invariant Submanifolds of a Sasakain Manfifold, [preprint].
- A.A. Shaikh, On Lorentzian Almost Paracontact Manifolds with a Structure of the Concircular Type, Kyungpook Math. J. 43 (2003), 305-314.
-
A. A. Shaikh, Some Results on
$(LCS)_n$ -Manifolds, J. Korean Math. Soc. 46 (2009), 449-461. https://doi.org/10.4134/JKMS.2009.46.3.449 - A.A, Shaikh and K.K, Baishya, On Concircular Structure Spacetimes, J. Math. Stat, (2005), 129-132.
- A.A, Shaikh and K.K, Baishya, On Concircular Structure Spacetimes II, Am. J. Appl. Sci. 3 (4) (2006), 1790-1794. https://doi.org/10.3844/ajassp.2006.1790.1794
-
A. A. Shaikh, Y. Matsuyama and S. K. Hui, On Invariant Submanifolds of
$(LCS)_n$ -Manifolds, Journal of the Egyptian Mathematical Society, 24 (2016), 263-269. https://doi.org/10.1016/j.joems.2015.05.008
피인용 문헌
- Certain results on invariant submanifolds of an almost Kenmotsu $$(\kappa ,\mu ,\nu )$$-space vol.10, pp.3, 2021, https://doi.org/10.1007/s40065-021-00339-9