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2019 | 18 | 123-136

Tytuł artykułu

Ricci solitons in a generalized weakly (Ricci) symmetric D-homothetically deformed Kenmotsu manifold

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
The object of the present paper is to investigate the nature of Ricci solitons on D-homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.

Rocznik

Tom

18

Strony

123-136

Opis fizyczny

Daty

wydano
2019-07-22

Twórcy

  • West University of Timişoara, Department of Mathematics
  • Kurseong College, Department of Mathematics
autor
  • Kurseong College, Department of Mathematics

Bibliografia

  • Alegre, Pablo, David E. Blair and Alfonso Carriazo. "Generalized Sasakian-spaceforms." Israel J. Math. 141 (2004): 157-183.
  • Baishya, Kanak Kanti "Note on almost generalized pseudo-Ricci symmetric manifolds." Kyungpook Math. J. 57, no. 3 (2017): 517-523.
  • Baishya, Kanak Kanti "On generalized semi-pseudo symmetric manifold." submitted.
  • Baishya, Kanak Kanti. "On generalized weakly symmetric manifolds." Bull. Transilv. Univ. Brasov Ser. III 10(59), no. 1 (2017): 31-38.
  • Baishya, Kanak Kanti. "Ricci solitons in Sasakian manifold." Afr. Mat. 28, no. 7-8 (2017): 1061-1066.
  • Baishya, Kanak Kanti and Roy Partha Chowdhury. "theta-Ricci solitons in (LCS)n-manifold." Bull. Transilv. Univ. Brasov Ser. III 9(58), no. 2 (2016): 1-12.
  • Baishya, Kanak Kanti and Partha Roy Chowdhury. "On almost generalized weakly symmetric LP-Sasakian manifolds." An. Univ. Vest Timis. Ser. Mat.-Inform. 55, no. 2 (2017): 51-64.
  • Baishya, Kanak Kanti et all. "On almost generalized weakly symmetric Kenmotsu manifolds." Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 55, no. 2 (2016): 5-15.
  • Blaga, Adara M. "theta-Ricci solitons on Lorentzian para-Sasakian manifolds." Filomat 30, no. 2 (2016): 489-496.
  • Blaga, Adara M. "Eta-Ricci solitons on para-Kenmotsu manifolds." Balkan J. Geom. Appl. 20, no. 1 (2015): 1-13.
  • Blaga, Adara M., Kanak Kanti Baishya and Nihar Sarkar. "Ricci solitons in a D-homothetically deformed Kenmotsu manifold of (Ricci) semi-symmetric type." submitted.
  • Blaga, Adara M. and Mircea Crasmareanu. "Torse-forming theta-Ricci solitons in almost paracontact theta-Einstein geometry." Filomat 31, no. 2 (2017): 499-504.
  • Blair, David E. Contact manifolds in Riemannian geometry. Vol. 509 of Lecture Notes in Mathematics. Berlin-New York: Springer-Verlag, 1976.
  • Cartan, E. "Sur une classe remarquable d’espaces de Riemann." Bull. Soc. Math. France 54 (1926): 214-264.
  • Chaki, M.C. "On pseudo symmetric manifolds." An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 33, no. 1 (1987): 53-58.
  • Dubey, R.S.D. "Generalized recurrent spaces." Indian J. Pure Appl. Math. 10, no. 12 (1979): 1508-1513.
  • Ghosh, Amalendu and Ramesh Sharma. "K-contact metrics as Ricci solitons." Beitr. Algebra Geom. 53, no. 1 (2012): 25-30.
  • Hamilton, Richard S. "The Ricci flow on surfaces." Contemp. Math. 71 (1988): 237-262.
  • Hamilton, Richard S. "Three-manifolds with positive Ricci curvature." J. Differential Geom. 17, no. 2 (1982): 255-306.
  • Kenmotsu, Katsuei. "A class of almost contact Riemannian manifolds." Tôhoku Math. J. (2) 24 (1972): 93-103.
  • Nagaraja, H.G., D.L. Kiran Kumar and V.S. Prasad. "Ricci solitons on Kenmotsu manifolds under D-homothetic deformation." Khayyam J. Math. 4, no. 1 (2018): 102-109.
  • Nagaraja, H.G. and C.R. Premalatha. "Ricci solitons in Kenmotsu manifolds." J. Math. Anal. 3, no. 2 (2012): 18-24.
  • Tamássy, L. and T.Q. Binh. "On weakly symmetric and weakly projective symmetric Riemannian manifolds." Colloq. Math. Soc. János Bolyai 56 (1992): 663-670.
  • Tarafdar, M. and Mussa A.A. Jawarneh. "Semi-pseudo Ricci symmetric manifold." J. Indian Inst. Sci. 73, no. 6 (1993): 591-596.
  • Walker, A.G. "On Ruse’s spaces of recurrent curvature." Proc. London Math. Soc. (2) 52 (1950): 36-64

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.ojs-issn-2300-133X-year-2019-volume-18-article-7948
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