Curved blades, such as those found in many traditional swords like the katana, do offer certain advantages when it comes to cutting. However, it is important to note that the effectiveness of a blade in cutting depends on various factors beyond just its curvature.

The curved shape of a blade, like that of a katana, can facilitate cutting by creating a longer cutting surface. As the sword is swung, the curvature allows for a longer and more focused cutting edge to come into contact with the target, increasing the potential for efficient slicing and cutting motions. This can be particularly advantageous when cutting through soft targets, such as flesh or vegetation.

The curve also helps to create a dynamic and fluid cutting motion, enabling the blade to pass through a target with reduced resistance. This can make it easier to cut through materials and maintain momentum during a strike.

However, it's important to note that the effectiveness of a blade is not solely determined by its curvature. Other factors such as the blade's sharpness, thickness, edge geometry, and the skill of the wielder also play significant roles in its cutting ability.

Different blade designs have their own strengths and applications. Straight blades, for example, are often associated with thrusting and stabbing motions, whereas curved blades like the katana excel in cutting and slashing techniques.

Ultimately, the efficiency of a blade in cutting depends on a combination of factors, including its design, sharpness, and the technique employed by the user. The curvature of a blade can certainly contribute to its cutting performance, but it is just one aspect among many that influence its effectiveness.