INVARIANT SUBMANIFOLD OF (3k,k)STRUCTURE MANIFOLD

  • Lakhan Singh Department of Mathematics, D.J. College, Baraut, Baghpat (U.P.),India
  • Shailendra Kumar Gautam Eshan College of Engineering, Mathura(UP),India
DOI: https://doi.org/10.53555/m.v2i8.1552
Keywords: Invariant submanifold, Nijenhuis tensor, projection operators, complementary distributions

Abstract

In this paper, we have studied various properties of a
3 , k k 
structure
manifold and its invariant submanifold, where k is positive integer. Under two
different assumptions, the nature of induced structure

, has also been discussed.

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Author Biographies

Lakhan Singh, Department of Mathematics, D.J. College, Baraut, Baghpat (U.P.),India

Department of Mathematics, D.J. College, Baraut, Baghpat (U.P.),India

Shailendra Kumar Gautam, Eshan College of Engineering, Mathura(UP),India

Eshan College of Engineering, Mathura(UP),India

References

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Endo Hiroshi: On invariant submanifolds of connect metric manifolds, Indian J. Pure Appl. Math 22 (6) (June-1991), 449-453.

H.B. Pandey & A. Kumar: Anti-invariant submanifold of almost para contact manifold. Prog. of Maths Volume 21(1): 1987.

K. Yano: On a structure defined by a tensor field f of the type (1,1) satisfying f3+f=0. Tensor N.S., 14 (1963), 99-109.

R. Nivas & S. Yadav: On CR-structures and F 2 3,2    - HSU - structure satisfying 2 3 2 0 r F F      , Acta Ciencia Indica, Vol. XXXVII M, No. 4, 645 (2012).

Abhisek Singh, Ramesh Kumar Pandey & Sachin Khare: On horizontal and complete lifts of ( 1 , 1 )

Tensor fields F satisfying the structure equation F 2 , k S S   =0. International Journal of Mathematics and soft computing. Vol. 6, No. 1 (2016), 143-152, ISSN 2249-3328

Published
2016-08-31
How to Cite
Singh, L., & Gautam, S. K. (2016). INVARIANT SUBMANIFOLD OF (3k,k)STRUCTURE MANIFOLD. IJRDO -JOURNAL OF MATHEMATICS, 2(8), 01-08. https://doi.org/10.53555/m.v2i8.1552
Issue
Vol. 2 No. 8 (2016): IJRDO-Journal of Mathematics
Section
Articles

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