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 lecture note Prof. G. hall Lecture 1 pdf-1
Lecture 2.. The sectional curvature function and its associated metric and the geodesic structure of space-time and the metric.https://webupload.gazi.edu.tr/upload/1262/2026/9/14/c402395f-ace4-46c3-bc18-9a61a310bf4c-turkey-talk-holonomy.pdf

Lecture 3.  Holonomy Theory in General Relativity Theory.https://webupload.gazi.edu.tr/upload/1262/2026/9/14/c402395f-ace4-46c3-bc18-9a61a310bf4c-turkey-talk-holonomy.pdf

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.  Submersions and Riemannian maps, geometric structures along Riemannian maps, totally geodesic and umbilical Riemannian maps 

Lecture 3. Riemannian maps from almost Hermitian manifolds, different types of Riemannian maps, Riemannian maps with total manifold admitting a Ricci-Bourguignon solitons

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

Lecture 1 and Lecture 2 . From Almost Complex to Trans-Sasakian Manifolds and Their Classifications  A. Turgut Vanlı Lecture 1