논문KCI 등재
ON GENERALIZED Z-RECURRENT MANIFOLDS
4
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The object of the present paper is to study generalized Z-recurrent manifolds. Some geometric properties of generalized Z-recurrent manifolds have been studied under certain curvature conditions. Finally, we give an example of a generalized Z-recurrent manifold.
Abstract
The object of the present paper is to study generalized Z-recurrent manifolds. Some geometric properties of generalized Z-recurrent manifolds have been studied under certain curvature conditions. Finally, we give an example of a generalized Z-recurrent manifold.
참고문헌 (32)
- T. Adati, "On a Riemannian space with recurrent conformal curvature", Tensor(N.S.), 18, pp.348~354 (1967)
- K. Arslan, "On generalized recurrent Riemannian manifolds", Acta Math. Hungarica, 123, pp.27~39 (2009)
- E. Cartan, "Sur une classes remarquable d'espaces de Riemannian", Bull. Soc. Math. France, 54, pp.214~264 (1926)
- M.C. Chaki, "Some theorems on recurrent and Ricci-recurrent spaces", Rendiconti Sem-inario Math. Della Universita Di Padova, 26, pp.168~176 (1956)
- M.C. Chaki, "On conformally symmetric spaces", Indian J. Math, 5, pp.113~122 (1963)
- M.C. Chaki, "On pseudo symmetric manifolds", Ann. St. Univ. "Al I Cuza" Iasi, 33, pp.53~58 (1987)
- M.C. Chaki, "On pseudo Ricci symmetric manifolds", Bulg. J. Phys, 15, pp.525~531 (1988)
- M.C. Chaki, "On pseudo-projective Ricci symmetric manifolds", Bulg. J. Phys, 21, pp.1~7 (1994)
- B.Y. Chen, "Hypersurfaces of a conformally flat spaces", Tensor, N. S, 26, pp.318~322 (1972)
- S.S. Chern, "On the curvature and characteristic classes of a Riemannian manifold", Abh. Math. Sem. Univ. Hamburg, 20, pp.117~126 (1956)
- U.C. De, "On generalized concircularly recurrent manifolds", Studia Sci. Math. Hungar, 46(2), pp.287~296 (2009)
- U.C. De, "On generalized Ricci-recurrent manifolds", Ten-sor(N.S.), 56, pp.312~317 (1995)
- L.P. Eisenhart, "Riemannian Geometry" (1949), Princeton University Press
- D. Ghosh, "On projective recurrent spaces of second order", Acad. Roy. Belg. Bull. Cl. Sci, 56(5), pp.1093~1099 (1970)
- A. Lichnerowicz, "Courbure, nombres de Betti, et espaces symmetriques", Proc. Int. Cong. Math, 2, pp.216~233 (1950)
- S. Mallick, "On generalized Ricci recurrent manifolds with applica-tions to relativity", Proc. Nat. Acad. Sci., India, Sect. A Phys. Sci, 83, pp.143~152 (2013)
- C.A. Mantica, "Conformally symmetric manifolds and quasi-conformally recurrent Riemannian manifolds", Balkan J. Geom. Appl, 16, pp.66~67 (2011)
- C.A. Mantica, "Weakly Z-Symmetric manifolds", Acta Math. Hungarica, 135, pp.80~96 (2012)
- C.A. Mantica, "Pseudo-Z-symmetric Riemannian manifolds with harmonic curvature tensors", Int. J. Geom. Meth. Mod. Phys, 9, pp.21~ (2012)
- C.A. Mantica, "Recurrent Z forms on Riemannian and Kaehler manifolds", Int. J. Geom. Meth. Mod. Phys, 9, pp.26~ (2012)
- B. O'Neill, "Semi-Riemannian Geometry with Applications to the Relativity" (1983), Academic Press
- C. Ozgur, "On generalized recurrent Kenmotsu manifolds", World Applied Sciences Jour-nal, 2, pp.9~33 (2007)
- C. Ozgur, "On generalized recurrent contact metric manifolds", Indian J. Math, 50, pp.11~19 (2008)
- C. Ozgur, "On generalized recurrent Lorentzian para-Sasakian manifolds", Int. J. Appl. Math. Stat, 13, pp.92~97 (2008)
- E.M. Patterson, "Some theorems on Ricci-recurrent spaces", J. London. Math. Soc, 27, pp.287~295 (1952)
- N. Prakash, "A note on Ricci-recurrent and recurrent spaces", Bull. Cal. Math. Society, 54, pp.1~7 (1962)
- W. Roter, "On conformally symmetric Ricci-recurrent spaces", Colloquium Mathe-maticum, 31, pp.87~96 (1974)
- J.A. Schouten, "Ricci-Calculus. An introduction to Tensor Analysis and its Geometrical Applications" (1954), Springer-Verlag
- L. Tamassy, "On weakly symmetries of Einstein and Sasakian manifolds", Tensor (N.S.), 53, pp.140~148 (1993)
- A.G. Walker, "On Ruse's space of recurrent curvature", Proc. of London Math. Soc, 52, pp.36~54 (1950)
- S. Yamaguchi, "On Ricci-recurrent spaces", Tensor, N. S, 19, pp.64~68 (1968)
- K. Yano, "Structures on manifolds", pp.418~421 (1984), World scientific
관련 논문AI추천
On some classes of generalized quasi-Einstein manifoldsAbsos Ali Shaikh, Shyamal Kumar Hui대한수학회 · 대한수학회논문집2009 · 제24권 제3호Geometry of a semi-symmetric recurrent metric connection김재만대한수학회 · 대한수학회논문집2023 · 제38권 제4호Z Tensor on N(k)-Quasi-Einstein ManifoldsSahanous Mallick, Uday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Notes on $(LCS)_n$-manifolds satisfying certain conditionsPushpendra Verma, Shyam Kishor대한수학회 · 대한수학회논문집2022 · 제37권 제4호On a type of generalized symmetric manifoldsRajesh Kumar대한수학회 · 대한수학회논문집2019 · 제34권 제3호On Almost Pseudo Conharmonically Symmetric ManifoldsPrajjwal Pal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호
이 간행물의 다른 논문 (4건)
ON ZERO DISTRIBUTIONS OF SOME SELF-RECIPROCAL POLYNOMIALS WITH REAL COEFFICIENTS박정훈, 김선홍, 한승우pp. 69-77COUPLED COINCIDENCE POINT RESULTS FOR GENERALIZED SYMMETRIC MEIR-KEELER CONTRACTION ON PARTIALLY ORDERED METRIC SPACES WITH APPLICATIONAmrish Handa, Bhavana Deshpandepp. 79-98APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED신동윤, 이정례, 서정필pp. 99-107QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES윤성식, 현윤탁, Yinhua Cuipp. 109-127
