Cover Image

Apollonius Problem and Caustics of an Ellipsoid

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Aliyev, Yagub N.
Format:	Preprint
Published:	2023
Subjects:	History and Overview Differential Geometry 53A05, 53A04
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Caustics of a Paraboloid and Apollonius Problem
by: Aliyev, Yagub N.
Published: (2024)

A translation of "What is differential geometry: curves and surfaces"
by: Petrunin, Anton, et al.
Published: (2026)

What is differential geometry: curves and surfaces
by: Petrunin, Anton, et al.
Published: (2020)

Six proofs of the Fáry--Milnor theorem
by: Petrunin, Anton, et al.
Published: (2022)

Rotational surfaces with prescribed curvatures
by: Carretero, Paula, et al.
Published: (2023)

Heintze-Karcher and Reverse Alexandrov-Fenchel Inequalities via Focal Geometry
by: Kwong, Kwok-kun, et al.
Published: (2026)

Concircular hypersurfaces and concircular helices in space forms
by: Lucas, Pascual, et al.
Published: (2026)

Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3--Space
by: Aksoyak, Ferdağ Kahraman, et al.
Published: (2022)

A property that characterizes the Enneper surface and helix surfaces
by: Lucas, Pascual, et al.
Published: (2026)

Concircular helices and concircular surfaces in Euclidean 3-space R3
by: Lucas, Pascual, et al.
Published: (2026)

Extrinsic Characterisations of Immersions
by: Suceavă, Bogdan D.
Published: (2025)

A necessary condition for cylindrical curves in terms of curvature and torsion
by: López, Rafael
Published: (2026)

A Characterization of Curves that Lie on a Totally Umbilical Surface of a Space Form
by: López, Rafael
Published: (2024)

Rotational Weingarten surfaces in Lorentz-Minkowski space
by: Carretero, Paula, et al.
Published: (2025)

Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds
by: Etayo, Fernando
Published: (2016)

Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
by: da Silva, Luiz C. B., et al.
Published: (2024)

Quadric surfaces of revolution in the 3-sphere as Weingarten surfaces
by: Castro, Ildefonso, et al.
Published: (2026)

Differential geometry of space curves: Forgotten chapters
by: Fuchs, Dmitry, et al.
Published: (2022)

Visualization of curvature on curve and surface by tangential angle parametrization
by: Kabata, Yutaro, et al.
Published: (2025)

Helicoidal surfaces of non-lightlike frontals in Lorentz-Minkowski 3-space
by: Yao, Kaixin, et al.
Published: (2026)

Ruled surfaces and hyper-dual tangent sphere bundle
by: Derkaoui, Khadidja, et al.
Published: (2024)

Some results on evolutoids of convex curves in $2$-dimensional space forms
by: Junior, Ady Cambraia, et al.
Published: (2025)

Logarithmic spirals on surfaces of constant Gaussian curvature
by: Blacker, Casey, et al.
Published: (2023)

PIGTIKAL (puzzles in geometry that I know and love)
by: Petrunin, Anton
Published: (2009)

Counting normals to closed curves in $\mathbb{R}^3$
by: Panina, Gaiane, et al.
Published: (2026)

Bertrand Legendre curves in the unit tangent bundle over Euclidean plane
by: Nakatsuyama, Nozomi, et al.
Published: (2026)

Bertrand types of regular curves and Bertrand framed curves in the Euclidean 3-space
by: Nakatsuyama, Nozomi, et al.
Published: (2024)

Evolutes and involutes of framed curves in Euclidean 3-space
by: Nakatsuyama, Nozomi
Published: (2026)

Generalization of the catenary in the dual plane
by: Aydin, Muhittin Evren, et al.
Published: (2026)

Stationaere Kurven auf endlichdimensionalen Mannigfaltigkeiten
by: Starke, Tobias
Published: (2026)

Cusps of caustics by reflection in ellipses
by: Bor, Gil, et al.
Published: (2024)

A Spiral Bicycle Track that Can Be Traced by a Unicycle
by: Wagon, Stan
Published: (2025)

A generalization of the notion of helix
by: Lucas, Pascual, et al.
Published: (2026)

Constant curvature curves in dual affine and dual Lorentz-Minkowski planes
by: Aydın, Muhittin Evren, et al.
Published: (2025)

A note on helices in the Euclidean space and in the hyperbolic space
by: López, Rafael
Published: (2025)

On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
by: Yang, Yunlong, et al.
Published: (2024)

Singular minimal surfaces with constant curvature
by: López, Rafael
Published: (2025)

Curves in Riemannian Manifolds Making Prescribed Angles With Torse-Forming Vector Fields
by: Aydin, Muhittin Evren, et al.
Published: (2026)

Bour's theorem for helicoidal surfaces with singularities
by: Hattori, Yuki, et al.
Published: (2023)

A comment on full discretized isothermic tori in Euclidean spaces
by: Leschke, K., et al.
Published: (2026)