Almost contact metric hypersurfaces with type number 0 or 1 in nearly-Kählerian manifolds
Tóm tắt
Từ khóa
Tài liệu tham khảo
A. Gray and L. M. Hervella, “The Sixteen Classes of Almost Hermitian Manifolds and Their Linear Invariants”, Ann. Mat. Pura Appl. 123(144), 35 (1980).
A. Carriazo and L. M. Fernandez, “Submanifolds Associated with Graphs”, Proc. Amer. Math. Soc. 132(11), 3327 (2004).
A. Carriazo, L. M. Fernandez, and A. Rodriguez-Hidalgo, “Submanifolds Weakly Associated with Graphs”, Proc. Indian Acad. Sci. (Math. Sci.), 119(3), 297 (2009).
M. B. Banaru, “On the Type Number of Nearly Cosymplectic Hypersurfaces of Nearly Kählerian Manifolds”, Fundam. Prikl. Matem. 8(2), 357 (2002).
M. Banaru, “On Nearly-Cosymplectic Hypersurfaces in Nearly-Kahlerian Manifolds”, Stud. Univ. Babes-Bolyai, Ser. Math. 47(3), 3 (2007).
M. B. Banaru, “The Type Number of the Cosymplectic Hypersurfaces of 6-Dimensional Hermitian Submanifolds of the Cayley Algebra”, Sib. Matem. Zh. 44(5), 981 (2003) [Siberian Math. J. 44 (5), 765 (2003)].
M. Banaru, “On Minimality of a Sasakian Hypersurface in a W 3-Manifold”, Saitama Math. J. 20, 1 (2002).
M. B. Banaru, “On Sasakian Hypersurfaces in 6-Dimensional Hermitian Submanifolds of the Cayley Algebra”, Matem. Sbornik 194(8), 13 (2003) [Sbornik: Math. 194 (8), 1125 (2003)].
M. B. Banaru, “On the Type Numbers of Almost Contact Metric Hypersurfaces of Almost Hermitian Manifolds”, in: Proc. VIII Int. Seminar “Discrete Mathematics and its Applications” (Moscow State Univ., Moscow, 2004), pp. 379–381.
V. F. Kirichenko, Differential Geometric Structures on Manifolds (Izd-vo MPGU, Moscow, 2003) [in Russian].
H. Endo, “On the Curvature Tensor of Nearly Cosymplectic Manifolds of Constant Φ-Sectional Curvature”, An. Stin. Univ. Iasi. LI(2), 439 (2005).
H. Endo, “Remarks on Nearly Cosymplectic Manifolds of Constant Φ-Sectional Curvature with a Submersion of Geodesic Fibers”, Tensor, New Ser. 66, 26 (2005).
H. Endo, “On Nearly Cosymplectic Manifolds of Constant Φ-Sectional Curvature”, Tensor, New Ser. 67, 323 (2006).
H. Endo, “Some Remarks of Nearly Cosymplectic Manifolds of Constant Φ-Sectional Curvature”, Tensor, New Ser. 68, 204 (2007).
V. F. Kirichenko and E. V. Kusova, “On Geometry of Weakly Cosymplectic Manifolds”, Fund. Prikl. Matem. 16(2), 33 (2010) [J. Math. Sci. (N.Y.) 177 (5), 668 (2011)].
E. V. Kusova, On Geometry of Weakly Cosymplectic Structures, Candidate’s Dissertation in Mathematics and Physics (MPGU, Moscow, 2013) [in Russian].
A. Abu-Saleem and M. Banaru, “Some Applications of Kirichenko Tensors”, An. Univ. Oradea 17(2), 201 (2010).
M. Banaru, “On Kirichenko Tensors of Nearly-Kählerian manifolds”, J. Sichuan Univ. Sci. & Eng. 25(4), 1 (2012).