Araştırma Makalesi
Yıl 2015,
Cilt: 8 Sayı: 1, 33 - 44, 30.04.2015
Öz
Anahtar Kelimeler
Kaynakça
- [1] Chen, B.-Y., Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno) 38 (2002), 73-80.
- [2] Chen, B.-Y., A Riemannian invariant and its applications to Einstein manifolds, Bull. Austral. Math. Soc. 70 (2004), 55–65.
- [3] Chen, B.-Y., An optimal inequality and extremal classes of affine spheres in centroaffine geometry, Geom. Dedicata 111 (2005), 187–210.
- [4] Chen, B.-Y., Geometry of affine warped product hypersurfaces, Results Math. 48 (2005), 9–26.
- [5] Chen, B.-Y., Eigenvalue of a natural operator of centro-affine and graph hypersurfaces, Beitr¨age Algebra Geom. 47 (2006), no. 1, 15–27.
- [6] Chen, B.-Y., Realizations of Robertson-Walker space-times as affine hypersurfaces, J. Phys. A, 40 (2007), 4241–4250.
- [7] Chen, B.-Y., Pseudo-Riemannian Geometry, δ-invariants and Applications, World Scientific, Hackensack, NJ, 2011.
- [8] Chen, B.-Y., Total Mean Curvature and Submanifolds of Finite Type. Second Edition, World Scientific, Hackensack, NJ, 2015.
- [9] Chen, B.-Y., Dillen, F. and Verstraelen, L., δ-invariants and their applications to centroaffine geometry, Differential Geom. Appl. 22 (2005), 341–354.
- [10] Dillen, F. and Vrancken, L., Calabi-type composition of affine spheres, Differential Geom. Appl. 4 (1994), 303–328.
- [11] Dillen, F. and Vrancken, L., Improper affine spheres and δ-invariants, PDEs, submanifolds and affine differential geometry, 157–162, Banach Center Publ., 69, Polish Acad. Sci. Inst. Math., Warsaw, 2005.
- [12] Li, A.-M., Simon, U. and Zhao, G., Global Affine Differential Geometry of Hypersurfaces, Expositions in Mathematics, 11, Walter de Gruyter, Berlin-New York, 1993.
- [13] Nomizu, K. and Pinkall, U., On the geometry of affine immersions, Math. Z. 195 (1987), 165–178.
- [14] Nomizu, K. and Sasaki, T., Affine Differential Geometry. Geometry of Affine Immersions, Cambridge Tracts in Math. no. 111 (Cambridge University Press, 1994).
- [15] Opozda, B., Some relations between Riemannian and affine geometry, Geom. Dedicata 47 (1993), 225–236.
- [16] Scharlach, C., Simon, U., Verstraelen, L. and Vrancken, L., A new intrinsic curvature invariant for centroaffine hypersurfaces, Beitr¨age Algebra Geom. 38 (1997), no. 2, 437–458.
- [17] Simon, U., Schwenk-Schellschmidt, A. and Viesel, H., Introduction to the Affine Differential Geometry of Hypersurfaces, Science University of Tokyo, 1991.
- [18] Vrancken, L., The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature, J. Differential Geom. 54 (2000), 99–138.
Yıl 2015,
Cilt: 8 Sayı: 1, 33 - 44, 30.04.2015
Öz
Kaynakça
- [1] Chen, B.-Y., Ricci curvature of real hypersurfaces in complex hyperbolic space, Arch. Math. (Brno) 38 (2002), 73-80.
- [2] Chen, B.-Y., A Riemannian invariant and its applications to Einstein manifolds, Bull. Austral. Math. Soc. 70 (2004), 55–65.
- [3] Chen, B.-Y., An optimal inequality and extremal classes of affine spheres in centroaffine geometry, Geom. Dedicata 111 (2005), 187–210.
- [4] Chen, B.-Y., Geometry of affine warped product hypersurfaces, Results Math. 48 (2005), 9–26.
- [5] Chen, B.-Y., Eigenvalue of a natural operator of centro-affine and graph hypersurfaces, Beitr¨age Algebra Geom. 47 (2006), no. 1, 15–27.
- [6] Chen, B.-Y., Realizations of Robertson-Walker space-times as affine hypersurfaces, J. Phys. A, 40 (2007), 4241–4250.
- [7] Chen, B.-Y., Pseudo-Riemannian Geometry, δ-invariants and Applications, World Scientific, Hackensack, NJ, 2011.
- [8] Chen, B.-Y., Total Mean Curvature and Submanifolds of Finite Type. Second Edition, World Scientific, Hackensack, NJ, 2015.
- [9] Chen, B.-Y., Dillen, F. and Verstraelen, L., δ-invariants and their applications to centroaffine geometry, Differential Geom. Appl. 22 (2005), 341–354.
- [10] Dillen, F. and Vrancken, L., Calabi-type composition of affine spheres, Differential Geom. Appl. 4 (1994), 303–328.
- [11] Dillen, F. and Vrancken, L., Improper affine spheres and δ-invariants, PDEs, submanifolds and affine differential geometry, 157–162, Banach Center Publ., 69, Polish Acad. Sci. Inst. Math., Warsaw, 2005.
- [12] Li, A.-M., Simon, U. and Zhao, G., Global Affine Differential Geometry of Hypersurfaces, Expositions in Mathematics, 11, Walter de Gruyter, Berlin-New York, 1993.
- [13] Nomizu, K. and Pinkall, U., On the geometry of affine immersions, Math. Z. 195 (1987), 165–178.
- [14] Nomizu, K. and Sasaki, T., Affine Differential Geometry. Geometry of Affine Immersions, Cambridge Tracts in Math. no. 111 (Cambridge University Press, 1994).
- [15] Opozda, B., Some relations between Riemannian and affine geometry, Geom. Dedicata 47 (1993), 225–236.
- [16] Scharlach, C., Simon, U., Verstraelen, L. and Vrancken, L., A new intrinsic curvature invariant for centroaffine hypersurfaces, Beitr¨age Algebra Geom. 38 (1997), no. 2, 437–458.
- [17] Simon, U., Schwenk-Schellschmidt, A. and Viesel, H., Introduction to the Affine Differential Geometry of Hypersurfaces, Science University of Tokyo, 1991.
- [18] Vrancken, L., The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature, J. Differential Geom. 54 (2000), 99–138.
Toplam 18 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Nisan 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 8 Sayı: 1 |