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Dr. Akbar Tayebi
Differential Geometry

PERSONAL INFORMATION

Name: Akbar

Family name: Tayebi

Birth date: 1979

Place of Birth: Tabriz, Iran

Office Address: Faculty of Science, Department of Mathematic, Qom University, Qom. Iran

Email: atayebi@qom.ac.ir or akbar.tayebi@gmail.com


ACADEMIC DEGREES

PhD in Mathematics

Major: Differential Geometry ( Riemann-Finsler Geometry )

AmirKabir University ( Dr. B. Bidabad), Tehran, Iran, 2004-2006.

Title of M.S. C Thesis: Curvature and Connections in Finsler Geometry.

M.S. in Mathematics

Major: Differential Geometry

Iran University of Science and Technology (Prof E. Esrafilian), Tehran, Iran, 2001-2003

Title of M.S. C Thesis: On a connection in Finsler geometry.

B.S. in Mathematics

Tabriz University, Iran, 1997-2001.

Awards:

1. Top M. S student of Iran University of Science and Technology, 2003.

2. Top researcher of Qom University, 2007.

3. Top researcher of Qom, 2007.

Interested In:

Riemannian-Finsler Geometry, Fractal Geometry, Super-Manifolds Geometry, Projective Geometry, Conformal Geometry, K hler Structures, Hermitian Structures, Symmetric Structures, Complex Structures.




From left to right: Dr. B. Najafi, Prof. H. Akbar-Zadeh and me.


CONFERENCE LECTURES

1. A Classification of Berwald-type Connections and its Applications. “International Symposium on Finsler Geometry”, Tianjin, China , August 10-14, 2004.

2. General-type Finsler connections, "35th Annual Iranian Mathematics Conference", Jundishapour University, Ahvaz, Iran, January 26-29, 2005.

3. Reduction of Finsler metrics to Berwald metrics, "35th Annual Iranian Mathematics Conference ", Jundishapour University, Ahvaz, Iran, January 26-29, 2005.

4. Infinitesimal C-conformal motions in Finsler geometry , 4th Seminar on Geometry and Topology, Urmia University, 13-14 September, 2006.


PUBLICATIONS (Papers)

1. (with M. M. Rezaei and B. Najafi) On General Relatively Isotropic L-Curvature Finsler Metrics, Iranian Journal of Science and Technology, Trans A, 29(2005), 357-366.

2. (with M. M. Rezaei and B. Najafi) On General Relatively Isotropic Mean Landsberg Metrics, Iranian Journal of Science and Technology, Trans A, 29(2005), 497-505.

3. (with Z. Shen and B. Najafi) On a Projective Class of Finsler Metrics, Publicationes Mathematicae Debrecen, 70 (2007), 211-219.

4. (with B. Bidabad) A Classification of Some Finsler Connection and their Applications, Publicationes Mathematicae Debrecen, 72 (2007), 1-14.

5. (with B. Bidabad and B. Najafi) On R-quadratic Finsler Metrics, Iranian Journal of Science and Technology, Iranian Journal of Science and Technology, 31 (2007), 439-443.

6. (with A. Azizpour and E. Esrafilian) On a Family of Connections in Finsler Geometry, Publication Mathematicae Debrecen, 72(2008), 1-15.

7. (with M. Rafie Rad) S-Curvature of Isotropic Berwald Metrics, Science in China, Series A: Mathematics. 51(2008), 2198-2204.

8. (with Z. Shen and B. Najafi) On Finsler metrics of scalar curvature with some non-Riemannian curvature properties, Geometriae Dedicata, 131(2008), 87-97.

9. (with B. Bidabad) Properties of Generalized Berwald Connections, Bull. Iran. Math. Society. 35(2009), 1-18.

10. (with B. Rezaei) C-conformal Transformation of Special Finsler Spaces, International Mathematical Forum, 4(2009), 959-968.

11. (with E. Peyghan) On a Special Class of Finsler Metrics, Iranian Journal of Science and Technology, Trans A, 33(2009), 1-8.

12. (with B. Bidabad) Special Finsler Metrics and Guass-Bonnet Theorem, submitted.

13. (with E. Peyghan) A K hler Structures on Finsler Spaces with Non-Zero Constant Flag Curvature, submitted.

14. (with E. Peyghan) Douglas Metrics with a Special Curvature, submitted.

15. (with B. Najafi) Shen's Process on Finslerian Connections, submitted.

16. On Generalized Douglas-Weyl Spaces, submitted.

Scientific Papers (علمي- پژوهشي )

1. (with E. Esrafilian) About a Linear Connection in Finsler Geometry, IUST- International Journal of Engineering Science, Vol. 16, No.1, (2005), 71-75.

2. (with B. Bidabad) Some Applications of Finsler Geometry in Sciences and Engineering, Journal of Science and Technology, Vol.15, No.58-D, (2004), 556-569.

3. (with E. Peyghan) Finsler metrics of scalar flag curvature with special non-Riemannian curvature property, AmirKabir Journal of Science and Technology, (2009), accepted.

4. (with E. Peyghan) On infinitesimal Conformal Transformation of the Tangent Bundles with the Generalized Metric II+III, AmirKabir Journal of Science and Technology, (2009), accepted.

Papers in preparation:

1. Geometrical Meaning of Stretch Finsler Metrics, in progress.

2. Conformal Vector Fields in Finsler Geometry.

3. Projective Vector Fields in Finsler Geometry.

4. Randers Metrics with Special Ricci Tensor.

5. Weakly Douglas Finsler Metrics.

6. (with B. Najafi) Numata-Type - Metrics.

7. (with E. Peyghan) Finsler Manifolds with G-Natural Metrics.

8. (with M. Rafie Rad) On Some Geometric Quantities of - Metrics.

9. (with M. Rafie Rad) Finsler Metrics with Special Curvature Properties.

10. (with B. Najafi) Locally Dually Flat Finsler Metrics.


Books

1. (with M. Tabatabaei) Sequences and Series, In Preparation.

2. (with M. PoorGholam-Hossein) Math Specialty Language, In Preparation.

3. (with E. Peyghan) Complex Analysis, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

4. (with E. Peygahn) Linear Algebra, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

5. (with E. Peyghan) Analysis 1, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

6. (with E. Peyghan) Analysis 2, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

7. (with E. Peyghan) Differential Equations, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

8. (with E. Peyghan) Abstract Algebra, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

9. (with E. Peyghan) Calculus 1, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

10. (with E. Peyghan) Calculus 2, Alavi Publisher, 1386. (2th and 3th Edition 87-88.)

11. (with B. Najafi and S. Najafi) How to be successful in General Mathematics? AmirKabir University Publisher, 1386.

12. (with H. Jovshan) Some Problems in Calculus 1, Shokravi publisher, 1383.


TEACHING EXPERIENCES

Elementary Differential Geometry, Topology, Logic Theory, Analysis 1, 2, 3, Complex Analysis, Linear Algebra, Discrete Mathematic, Calculus 1, 2 , 3, Differential Equations, Algebra 1, Set Theory.

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