논문KCI 등재
A study on the deformed Riemann extensions
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The purpose of this paper is to define a deformed Riemann extension using energy density on the cotangent bundle and to investigate applications of this metric.
Abstract
The purpose of this paper is to define a deformed Riemann extension using energy density on the cotangent bundle and to investigate applications of this metric.
참고문헌 (28)
- M. T. K. Abbassi, "Conformal vector fields and Ricci soliton structures on natural Riemann extensions", Mediterr. J. Math, 18(2), pp.16~ (2021)[DOI]
- S. Aslancı, "On a cotangent bundle with deformed Riemannian extension", Mediterr. J. Math, 11(4), pp.1251~1260 (2014)[DOI]
- S. Aslancı, "Some Remarks Concerning Riemannian Extensions", Ukrainian Math. J, 62(5), pp.661~675 (2010)[DOI]
- C. -L. Bejan, "A characterization of the Riemann extension in terms of harmonicity", Czechoslovak Math. J, 67(1), pp.197~206 (2017)[DOI]
- C. -L. Bejan, "On some differential operators on natural Riemann extensions", Ann. Global Anal. Geom, 48(2), pp.171~180 (2015)[DOI]
- C. -L. Bejan, "Einstein metrics induced by natural Riemann extensions", Adv. Appl. Clifford Algebr, 27(3), pp.2333~2343 (2017)[DOI]
- C. -L. Bejan, "Almost para-Hermitian and almost paracontact metric structures induced by natural Riemann extensions", Results Math, 74(1), pp.20~ (2019)[DOI]
- E. Calvi˜no-Louzao, "The geometry of modified Riemannian extensions", Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci, 465(2107), pp.2023~2040 (2009)[DOI]
- M. Crasmareanu, "Golden differential geometry", Chaos Solitons Fractals, 38(5), pp.1229~1238 (2008)[DOI]
- V. Cruceanu, "A survey on paracomplex geometry", Rocky Mountain J. Math, 26(1), pp.83~115 (1996)[DOI]
- V. Dryuma, "The Riemann extensions in theory of differential equations and their applications", Mat. Fiz. Anal. Geom, 10(3), pp.307~325 (2003)
- A. Gezer, "Properties of modified Riemannian extensions", J. Math. Phys. Anal. Geom, 11(2), pp.159~173 (2015)[DOI]
- A. Gezer, "On integrability of golden Riemannian structures", Turkish J. Math, 37(4), pp.693~703 (2013)[DOI]
- C. -E. Hret¸canu, "Applications of the golden ratio on Riemannian manifolds", Turkish J. Math, 33(2), pp.179~191 (2009)
- O. Kowalski, "On natural Riemann extensions", Publ. Math. Debrecen, 78(3-4), pp.709~721 (2011)[DOI]
- F. Ocak, "Some notes on Riemannian extensions", Balkan J. Geom. Appl, 24(1), pp.45~50 (2019)
- F. Ocak, "Some properties of the Riemannian extensions", Konuralp J. Math, 7(2), pp.359~362 (2019)
- F. Ocak, "Notes about a new metric on the cotangent bundle", Int. Electron. J. Geom, 12(2), pp.241~249 (2019)
- F. Ocak, "Notes on some properties of the natural Riemann extension", Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat, 72(2), pp.363~373 (2023)[DOI]
- F. Ocak, "On the cotangent bundle with vertical modified Riemannian extensions", Bol. Soc. Paran. Mat, 42, pp.7~ (2024)
- F. Ocak, "On a new metric in the cotangent bundle", Trans. Natl. Acad. Sci. Azerb. Ser. Phys. -Tech. Math. Sci, 38(1, Mathematics), pp.128~138 (2018)
- M. ¨Ozkan, "Prolongations of golden structures to tangent bundles", Differ. Geom. Dyn. Syst, 16, pp.227~238 (2014)
- E. M. Patterson, "Riemann extensions", Quart. J. Math. Oxford Ser, (2) 3(1), pp.19~28 (1952)[DOI]
- A. A. Salimov, "Mathematics Research Developments" (2013), Nova Science Publishers, Inc
- A. A. Salimov, "On para-Nordenian structures", Ann. Polon. Math, 99(2), pp.193~200 (2010)
- A. Salimov, "On deformed Riemannian extensions associated with twin Norden metrics", Chinese Ann. Math. Ser. B, 36(3), pp.345~354 (2015)[DOI]
- A. A. Salimov, "Paraholomorphic B-manifold and its properties", Topology Appl, 154(4), pp.925~933 (2007)[DOI]
- K. Yano, "Tangent and Cotangent Bundles: Differential Geometry" (1973), Marcel Dekker, Inc
관련 논문AI추천
On deformed-Sasaki metric and harmonicity in tangent bundlesAbderrahim Zagane, Naima Boussekkine대한수학회 · 대한수학회논문집2020 · 제35권 제3호g-NATURAL METRIC AND HARMONICITY ON THE COTANGENT BUNDLEAbderrahim Zagane, Mohammed Zagane대한수학회 · 대한수학회논문집2021 · 제36권 제1호On a Type of Semi-Symmetric Non-Metric Connection on Riemannian ManifoldsAjit Barman경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundlesMohammad Nazrul Islam Khan, Uday Chand De대한수학회 · 대한수학회논문집2023 · 제38권 제4호Berger type deformed Sasaki metric on the cotangent bundleAbderrahim Zagane대한수학회 · 대한수학회논문집2021 · 제36권 제3호A new class of Riemannian metrics on tangent bundle of a Riemannian manifoldAmir Baghban, Saeed Hashemi Sababe대한수학회 · 대한수학회논문집2020 · 제35권 제4호
이 간행물의 다른 논문 (15건)
On graded radical ideals of graded non-commutative ringsNico Groenewald, Susan F. EL-Dekenpp. 821-837Antinormal operators and antinormality of composition operators on $L^2(X)$Harish Chandra, Arvind Bhattpp. 839-849COEFFICIENT BOUNDS USING FABER POLYNOMIAL FOR A NEW SUBCLASS OF MEROMORPHIC BI-UNIVALENT FUNCTIONSThambidurai Janani, Sibel Yalcinpp. 851-858Sharp bounds for the initial coefficients for certain families of bi-univalent functionsAhmad Motamednezhad, Safa Salehianpp. 859-873On the measure of non strict cosingularity and the theory of operator matrixInes Walha, Naila Bouidapp. 875-895
