Kumari, Dipansha; Nagaraja, H. G.; Kumar, D. L. Kiran Invariant submanifolds of \(N(k)\)-Contact metric manifolds with generalized Tanaka Webster connection. (English) Zbl 1513.30151 J. Appl. Math. Inform. 40, No. 3-4, 741-751 (2022). Summary: The object of the present paper is to study some geometric properties of invariant submanifolds of \(N(k)\)-contact metric manifold admitting generalized Tanaka-Webster connection. MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory 32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables Keywords:invariant submanifolds; \(N(k)\)-contact metric manifold; generalized Tanaka-Webster connection PDFBibTeX XMLCite \textit{D. Kumari} et al., J. Appl. Math. Inform. 40, No. 3--4, 741--751 (2022; Zbl 1513.30151) Full Text: DOI References: [1] A. Bejancu, N. Papaghiuc, Semi-invariant submanifolds of a Sasakian manifold, An. Stiint. Univ. “Al. I. Cuza” Iasi Sect. I a Mat. (N.S.) 27 (1981), 163-170. · Zbl 0463.53030 [2] D.E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Mathematics, Springer-Verlag, Berlin-New York, 509 (1976), 1-16. · Zbl 0319.53026 [3] B.Y. Chen, Geometry of submanifolds, Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 1973. · Zbl 0262.53036 [4] J.T. Cho, CR-structures on real hypersurfaces of a complex space form, Publ. Math. 54 (1999), 473-487. · Zbl 0929.53029 [5] J.T. Cho, Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form, Hokkaido Math. 37 (2008), 1-17. · Zbl 1145.53013 [6] R. Takagi, Real hypersurfaces in complex projective space with constant principal curvatures, J. Math. Soc. Japan 27 (1975), 45-53. · Zbl 0292.53042 [7] N. Tanaka, On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japan. J. Math. New series 2 (1976), 131-190. · Zbl 0346.32010 [8] S. Tanno, Ricci curvatures of contact Riemannian manifolds, Tohoku Math. J. 40 (1988), 441-448. · Zbl 0655.53035 [9] S. Tanno, Variational problems on contact Riemannian manifolds, Transactions of the American Mathematical Society 314 (1989), 349-379. · Zbl 0677.53043 [10] S.M. Webster, Pseudo-Hermitian structures on a real hypersurface, J. Differ. Geom. 13 (1978), 25-41. · Zbl 0379.53016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.