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      Warped product skew semi-invariant submanifolds of locally golden Riemannian manifolds

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      https://www.riss.kr/link?id=A108052976

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      다국어 초록 (Multilingual Abstract)

      In this paper, we define and study warped product skew semi-invariant submanifolds of a locally golden Riemannian manifold. We investigate a necessary and sufficient condition for a skew semi-invariant submanifold of a locally golden Riemannian manifo...

      In this paper, we define and study warped product skew semi-invariant submanifolds of a locally golden Riemannian manifold. We investigate a necessary and sufficient condition for a skew semi-invariant submanifold of a locally golden Riemannian manifold to be a locally warped product. An equality between warping function and the squared normed second fundamental form of such submanifolds is established. We also construct an example of warped product skew semi-invariant submanifolds.

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      참고문헌 (Reference)

      1 B. Sahin, "Warped product submanifolds semi-invariant submanifolds of a locally product manifold" 49 (49): 383-394, 2006

      2 B. Sahin, "Warped product submanifolds of a Kahler manifold with a slant factor" 95 : 207-226, 2009

      3 H. M. Tastan, "Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold" 39 (39): 453-466, 2015

      4 M. F. Naghi, "Warped product skew CR-Submanifolds of Kenmotsu manifolds and their applications" 32 (32): 3505-3528, 2018

      5 C. E. Hretcanu, "Warped product Submanifolds in metallic Riemannian manifold" 51 (51): 161-186, 2020

      6 M. H. Shahid, "Submersion of semi-invariant submanifolds of Trans-Sasakian manifold" 36 (36): 63-71, 2013

      7 C.E. Hretcanu, "Submanifolds in Riemannian manifold with golden structure" 2007

      8 M. Ahmad, "Springer Proceeding in Mathematics and Statistics" 2020

      9 M. Gok, "Some characterization of semi-invariant submanifolds of golden Riemannian manifolds" 7 (7): 1-12, 2019

      10 A. Lotta, "Slant submanifolds in contact geometry" 39 : 183-198, 1996

      1 B. Sahin, "Warped product submanifolds semi-invariant submanifolds of a locally product manifold" 49 (49): 383-394, 2006

      2 B. Sahin, "Warped product submanifolds of a Kahler manifold with a slant factor" 95 : 207-226, 2009

      3 H. M. Tastan, "Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold" 39 (39): 453-466, 2015

      4 M. F. Naghi, "Warped product skew CR-Submanifolds of Kenmotsu manifolds and their applications" 32 (32): 3505-3528, 2018

      5 C. E. Hretcanu, "Warped product Submanifolds in metallic Riemannian manifold" 51 (51): 161-186, 2020

      6 M. H. Shahid, "Submersion of semi-invariant submanifolds of Trans-Sasakian manifold" 36 (36): 63-71, 2013

      7 C.E. Hretcanu, "Submanifolds in Riemannian manifold with golden structure" 2007

      8 M. Ahmad, "Springer Proceeding in Mathematics and Statistics" 2020

      9 M. Gok, "Some characterization of semi-invariant submanifolds of golden Riemannian manifolds" 7 (7): 1-12, 2019

      10 A. Lotta, "Slant submanifolds in contact geometry" 39 : 183-198, 1996

      11 J. L. Cabrerizo, "Slant submanifolds in Sasakian manifolds" 42 : 125-138, 2000

      12 B. Y. Chen, "Slant immersions" 41 (41): 135-147, 1990

      13 M.D. Siddiqi, "Skew semi-invariant submanifols of a gener-alized quasi Sasakian manifolds" 9 (9): 188-197, 2017

      14 L. Ximin, "Skew semi-invariant submanifolds of a locally product mani-fold" 56 : 319-327, 1999

      15 M. Ahmad, "Skew semi-invariant submanifolds in a golden Rie-mannian manifold" 7 (7): 45-56, 2021

      16 N. Papaghiuc, "Semi-slant submanifolds of a Kaehlerian manifold" 40 : 55-61, 1994

      17 F.E. Erdogan, "Semi-invariant submanifolds of a golden Riemannian manifolds" 1833 : 020044-, 2007

      18 A. Bejancu, "Semi-invariant submanifolds of a Sasakian manifold" 27 : 163-170, 1981

      19 F. Etayo, "On the geometry of almost golden Rie-mannian manifolds" 187 (187): 991-1007, 2017

      20 M. Ahmad, "On submanifolds in a Riemannian manifold with golden structure" 11 (11): 8-23, 2019

      21 M. Crasmareanu, "On some invariant submanifolds in a Riemannian manifold with golden structure" 53 : 199-211, 2007

      22 K. Arslan, "On slant submanifolds of neutral Kaehler manifolds" 17 : 561-584, 2010

      23 M. Ahmad, "On semi-invariant ξ⊥ submanifolds of Lorentzian para Sasakian manifolds" 2 (2): 89-98, 2019

      24 M. Ahmad, "On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection" 62 (62): 189-198, 2010

      25 L. S. Das, "On semi-invariant submanifold of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection" 17 (17): 119-130, 2011

      26 A. Gezer, "On integrability of golden Riemannian structures" 37 : 693-703, 2013

      27 Mobin Ahmad ; 전재복, "ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION" 충청수학회 23 (23): 257-266, 2010

      28 Mobin Ahmad ; 전재복, "ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION" 한국수학교육학회 18 (18): 1-11, 2011

      29 R. L. Bishop, "Manifolds of negative curvature" 145 : 1-49, 1969

      30 Nergiz Önen Poyraz, "Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold" Springer Science and Business Media LLC 14 (14): 2017

      31 B. Gherici, "Induced structure on golden Riemannian manifolds" 18 (18): 366-392, 2018

      32 A. M. Blaga, "Golden warped product Riemannian manifolds" 37 (37): 39-50, 2017

      33 M. Crasmareanu, "Golden differential geometry" 38 (38): 1229-1238, 2008

      34 B.Y. Chen, "Geometry of slant submanifolds" Katholieke Universiteit Leuven 1990

      35 A. Bejancu, "Geometry of CR-Submanifolds" Kluwer Academic Publishers 1986

      36 M. M. Tripathi, "Generic submanifolds of generalized complex space form" 50 (50): 373-392, 1997

      37 G. S. Ronsse, "Generic and skew CR-submanifolds of a Kaehler manifold" 18 : 127-141, 1990

      38 A. Carriazo, "Bi-slant immersions" 88-97, 2000

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