Lecture Courses & Speakers

Prof. Sorin DRAGOMIR (University of Basilicata, Italy, King Khalid University, Abha, Saudi Arabia )

Lecture 1 . CR Manifolds, Tanaka-Webster Connection, Tangential C-R Complex,  Kohn-Rossi Cohomology, Subelliptic Theory. http://geometrysummerschool.gazi.edu.tr/view/page/298934/prof-s-dragomir-course-1

Lecture 2. Bergman metric,  Tangentially C-R Foliations, Graham-Lee Connection, Boundary Values of Bergman-Harmonic Maps and Yang-Mills fields on strictly pseudoconvex domains. http://geometrysummerschool.gazi.edu.tr/view/page/298936/prof-s-dragomir-course-2

Lecture 3 . Pseudohermitian Geometry {\em versus} Lorentzian Geometry: Fefferman's Metric. http://geometrysummerschool.gazi.edu.tr/view/page/298937/prof-s-dragomir-course-3

Lecture 4. Singularities of Space-Times, Schmidt's Bundle Boundaries, Clarke's Singular Holonomy Groups, Quantum Mechanical "healing" of Space-Time Singularities. http://geometrysummerschool.gazi.edu.tr/view/page/298938/prof-s-dragomir-course-4

Lecture  5. Bundle Boundaries of Fefferman Space-Times, Curvature Singularities of Weakly Pseudoconvex Boundaries, Gravitational Field Equations on Fefferman spaces, Wave Maps from Gödel's Universe. http://geometrysummerschool.gazi.edu.tr/view/page/298939/prof-s-dragomir-course-5

 Prof. Graham HALL (University of Aberdeen, UK.)

Lecture 1.  The curvature tensor, its structure and classification and its relationship to the metric. The Weyl conformal tensor Prof. G. Hall Lecture 1 and 2-1
Lecture 2.. The sectional curvature function and its associated metric and the geodesic structure of space-time and the metric.Prof. G. Hall Lecture 1 and 2-1

Lecture 3.  Holonomy Theory in General Relativity Theory.Prof. G. Hall Lecyure 3-1

Prof. Rajendra PRASAD  (University of Lucknow, , India.)

Lecture  1.  Ricci Flow, different types of  solitons, Ricci soliton, gradient Ricci soliton, some manifolds admitting Ricci solitons, Riemannian submersion from hyperbolic Ricci solitons.

Lecture  2.  From submersions and Riemannian maps to… umbilical Riemannian maps.

Lecture 3. From Riemannian maps from almost Hermitian manifolds to …Ricci Bourguinon solitons.

Prof. Aysel TURGUT VANLI (University of Gazi, Türkiye)

Lecture 1. From Almost Complex to Trans-Sasakian Manifolds and Their Classifications  A. Turgut Vanlı Lecture 1

Lecture 2. From f-Structures to 3-Sasakian Manifolds A. Turgut Vanlı Lecture 2-1